NEED HELP WITH PART B
gina has borrowed 100 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to
download, y, for a certain number of weeks, X: .picture above
Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and
initial value. (6 points)
Part B: Write an equation in slope-intercept form to model the relations

NEED HELP WITH PART B Gina Has Borrowed 100 Songs From Her Friend. She Plans To Download An Equal Number

Answers

Answer 1

Answer:

y = -20x + 100

Step-by-step explanation:

As per your requirement For Part B, the solution is

The equation in slope-intercept form to model the relations is below:-

To reach 2 points on the graph the line passes through

lets use p1(0, 100), p2(1, 80)

now we will compute the slope:

[tex]m = \frac{(y2 - y1)}{(x2 - x1)}[/tex]

[tex]m = \frac{(80 - 100)}{(1 - 0)}[/tex]

= -20

and now use line equation in form point-slope:

y - y1 = m(x - x1)

y - 100 = -20(x - 0)

y = -20x + 100

Answer 2

Answer:

Part A: 

initial value = 100 (total amount of songs to download)

rate of change = -20 songs/week (100-80 and so on)

Part B: 

ANSWER: y = -20x + 100

y = mx + b, where m is the slope and b is the y-intercept (or initial value).


Related Questions

Last season, a lacrosse player scored 41 points in 15 games.So far this season, the player has scored 24 points in 9 games.a. Does the player have a greater number of goals per game thisseason compared with last season?b. Suppose the player plays in as many games this season as lastseason and continues to score at this season’s rate. Write and solve aproportion to find the number of goals the player will score thisseason.

Answers

Answer:

1.) No

2.) 40 goals

Step-by-step explanation:

Given the following :

Last season:

Games played = 15

Points scored = 41

Current season:

Games played = 9

Points scored = 24

A)

Last season:

Goals per game = total points / number of games

Goals per game = 41 / 15 = 2.733

Current season :

Goals per game = total points / number of games

Goals per game = 24 / 9 = 2.667

Last season's goal per game is greater than that of current season.

B)

Current rate = goals / games = 24/9 - - - (1)

Let points to be scored this season = y

Ratio of y to number of games played last season = y / 15 - - - (2)

Equate both

24 / 9 = y / 15

9 * y = 24 * 15

y = 360 / 9

y = 40

A high school has 44 players on the football team. The summary of the players' weights is given in the box plot. What is the interquartile range of the players' weights? 150 160 170 180 190 200 210 220 230 240 250 260 270 [infinity] −[infinity] 262 160 175 214 225 Weight (in pounds)

Answers

Answer:

The interquartile range of the players' weights = 48 pounds.

Step-by-step explanation:

The boxplot attached to this question is missing. It was obtained online and is attached to this solution of the question.

It should be noted that the following is true for a boxplot.

A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.

The elements of the box plot are described thus;

The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.

The horizontal line inside the box is the median.

The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.

Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.

So, it is evident that for this question,

First quartile = 174 pounds

Third quartile = 222 pounds

Inter Quartile Range = (Third quartile) - (First quartile)

= 222 - 174

= 48 pounds.

Hope this Helps!!!

‼️‼️10 points‼️‼️
1. Is the relationship shown by the data linear. If so, model the data with an equation.
A. The relationship is linear; y-5=-4/5(x-5).
B. The relationship is not linear.
C. The relationship is linear; y-5=5/4(x-1).
D. The relationship is linear; y-1=4/5(x-5).

Answers

Answer:

The correct answer is B.

Step-by-step explanation:

There is no clear rule regarding the relationship with these numbers. So it is not linear.

Good Luck!

the relationship is not linear

Which is the best estimate of (Negative three-fifths) (17 and StartFraction 5 over 6 EndFraction)?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{-3}{5}*17\frac{5}{6}=\frac{-3}{5}*\frac{107}{6}\\\\=\frac{-1*107}{5*2}\\\\=\frac{-107}{10}\\\\=-10\frac{7}{10}[/tex]

Answer:

-9

Step-by-step explanation:

don't have one

Expand and then collect the following expression 5(2b+1)+6(3b+2)

Answers

Step-by-step explanation:

10b+5+18b+10

28b+15 is the answer

Answer:

28b+17

Step-by-step explanation:

=> 5(2b+1) + 6(3b+2)

Expanding the brackets

=> 10b+5+18b+12

Combining like terms

=> 10b+18b+5+12

=> 28b+17

x + y + 5) and (2x – 2y – 3)

Answers

Step-by-step explanation:

Since your question is incomplete, I have given you two different options based on your incomplete question.

Hope you understand this.

HAVE A GOOD DAY!

Pls help me it is urgent .A trader bought a plate for 120 naira and sold it for 168 naira .What is his percentage profit.

Answers

Answer:

40%

Step-by-step explanation:

He made 48 naira.

48 = 40% * 120

The number or expression in a power that is multiplied by itself?​

Answers

Answer:

the base???

Step-by-step explanation:

Answer:

Exponent

Step-by-step explanation:

An exponent is a shorthand notation which tells how many times a number (or expression) is multiplied by itself.

In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band Find the probability that a student chosen at random is in the choir or band or both

Answers

Answer:

29/45 ≈ 0.644

Step-by-step explanation:

There are 450 students in total

110-60=50 students are only in the choir

240-60=180 students are only in the band

60 students are in both

160 students are neither in the band nor in the choir

So the chance of being in either is (50+60+180)/450 = 29/45 ≈ 0.644

What is the product? ​

Answers

Answer:

It's (B)

Step-by-step explanation:

PLEASE HELP!!

triangle abc is reflected about the line y=-x to give triangle a’b’c’ with vertices A’(-1, 1) B(-2, -1), C(-1, 0). what are the vertices of triangle abc

Answers

Answer:

-7,-6,-3.these are the vertices

Will give high vote and brainliest!! Just make sure to put the CORRECT answer <3 (the one i clicked is wrong)

Answers

Answer:

1.2x10^13

Step-by-step explanation:

Trillion=1x10^12

12 trillion=12x10^12

12 trillion=1.2x10^13

Estimate the product of the numbers 908 x 67 by rounding each number to the nearest hundred. The estimated product is ?

Answers

Answer: 90,000

Work Shown:

908 rounds to 900. This is because 908 is closer to 900, than it is to 1000.

While 67 rounds to 100, for similar reasoning as above.

Multiplying those rounded values gives 900*100 = 90,000. This is the number 90 thousand.

Note that 9*1 = 9 and its followed by four zeros (two each from 900 and 100). This is a quick way to mentally multiply things like this.

Using a calculator, we see that 908*67 = 60,836 which is fairly off from what we estimated. This is to be expected as estimates only give us a rough idea of how big a number is.

Each of the following sets of dimensions represents the dimensions of a right rectangular prism. All of them have the same volume except:

Answers

Answer:

Its A

Step-by-step explanation:

i got it right

PLEASE HELP ME! IM REALLY CONFUSED!

Answers

Here is the answer! Please let me know if you’re confused on anything.

Write 90 cm as a fraction of 2.4 m. Give your answer in its simplest form.​

Answers

Answer:

[tex]\frac{3}{80}[/tex]

Step-by-step explanation:

90 cm in metres is = 0.09 m

Writing it as a fraction of 2.4 m

=> [tex]\frac{0.09 m}{2.4 m}[/tex]

In simplest form

=> [tex]\frac{3}{80}[/tex]

What is the solution to the system of linear equations graphed below?

A.) (0, 4)
B.) (4, 1/2)
C.) (1/2, 4)
D.) (0, 3)

Answers

Answer:

C.) (1/2, 4)

Step-by-step explanation:

The solution is where the two lines intersect

The lines intersect at x = .5 and y =4

Answer:

C.) (1/2, 4)

Step-by-step explanation:

how do you do this : 40% of 98 = _____

Answers

Answer:

39.2.

Step-by-step explanation:

Think of the word "of" as a sign that you have to multiply.

- Hope this helped you.

Answer:

39.2

Explanation:

To solve this problem, we must first convert the forty percent into a decimal

⟹ 40% = 0.40

Next, multiply forty percent (as a decimal) by ninety eight

⟹ 0.40 × 98 = ?

⟹ 0.40 × 98 = 39.2

Therefore, forty percent of ninety eight is 39.2.

Sort each equation according to wnether it has one solution, infinitely many solutions, or no solution
5(x - 2) = 5x - 7
One Solution
Infinitely Many Solutions
No Solution
4x - 2) = 3x - 4
6x+5) = 6x +11​

Answers

Step-by-step explanation:

[tex]5(x - 2) = 5x - 7 \\ 5x - 10 = 5x - 7 \\ 0 = 3[/tex]no solutions

[tex]4x - 2 = 3x - 4 \\ x = - 2[/tex]one solution

[tex]6x + 5 = 6x + 11 \\ 5 = 11[/tex]

no solutions

A server gets an average of $4.50 in tips for each table he serves. In the morning, the server had 12 tables and in the afternoon the server had 13 tables Find his tips

Answers

Answer:

$112.50

Step-by-step explanation:

so the first thing you would do is add 12 to 13 to get

12 + 13 = 25

then multiply 25 by 4.50 to get

25 x 4.50 = 112.50

so the average number of tips the server has received is $112.50

ITUTUS
Every day a school bus driver passes the same traffic light twice, once before school and once after.
Each time he passes the light, he records if it is red, green, or yellow.
Here is a summary of the data he got after 150 days.
Traffic light
before school
Traffic light
after school
Number of days
red
red
13
red
green
17
red
yellow
23
green
red I
11
green
green
10
green
yellow
17
yellow
red
24
yellow
green
21
yellow
yellow
14
Suppose the driver will continue recording the colors for 50 more days.
In how many of these 50 days will the light be yellow at least once? Use the data to make a prediction.
Х
$
?​

Answers

Answer:

Step-by-step explanation:

A
a
29
20
С
B
21
Find tan(a) in the triangle.

Answers

Answer:

21/20.

Step-by-step explanation:

tan α = opposite side / adjacent side

= 21/20

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.

Answers

Answer:

0.59375

Step-by-step explanation:

In a uniform distribution the probability that the time t is greater than any given value, X, is:

[tex]P(t\geq X)=1-\frac{X}{b-a}[/tex]

In this problem, the limits of the distribution are a = 0 and b = 8 minutes.

For X =3.25 minutes:

[tex]P(t\geq 3.25)=1-\frac{3.25}{8-0} \\P(t\geq 3.25)=0.59375[/tex]

The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.

The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.

Calculation of the probability:

Since The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes.

So, here the probability is

[tex]= 1 - (3.25 \div (8-0))\\\\[/tex]

= 0.59375

Hence, The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.

Learn more about probability here: https://brainly.com/question/15241200

Evaluate 2/5 divided 1/4 Give answer as a mixed number in its simplest form

Answers

Answer:

1 3/5

Step-by-step explanation:

2/5 ÷ 1 /4

Reciprocal.

2/5 × 4/1

Multiply.

8/5

Convert to a mixed fraction.

1 3/5

The required mixed number is given as 3 1/5 and in simplest form, it is 8/5.

Given that,
To evaluate 2/5 divided 1/4,

What is the fraction?

Fraction is defined as the number of compositions that constitutes the Whole. Fraction is representation as a/b where a and b are integers.

Here,
According to the question,
= [2/5 ]/ [1/4]
= 2/5 × 4 / 1
= [2 × 4] / [5 × 1]
= 8 / 5

Now,
Mixed number = 8/5 = 3 1/5

Thus, the required mixed number is given as 3 1/5 and in simplest form, it is 8/5.

Learn more about fractions here:
https://brainly.com/question/10708469

#SPJ3

What is the inverse of the function f(x) = 2x + 1?
1
o h(x) = 5x-
2x +
O h(x) = 1
3x-2
N/" Nr
Oh(x) =
O h(x) = x + 2

Answers

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

[tex]\frac{y-1}{2}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , so

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]

Answer:  " f⁻¹(x) = (x-1)/2  ";  or, write as:

___________________________________

              " f⁻¹(x) = (x/2) - (1/2) " .

___________________________________

Step-by-step explanation:

___________________________________

Given:   f(x) = 2x + 1 ;  Find the inverse:

___________________________________

1)  Rewrite as y = 2x + 1 ;

2) Replace the "x" with "y" ; and the "y" with "x" ; and rewrite:

         x = 2y + 1 ;

3)  Now, "solve"; with "y" standing alone as a single, isolated variable on the left side of the equation, with an "equals" sign following the "y" :

         x = 2y + 1 :

Subtract "1" from each side of the equation:

         x - 1 = 2y + 1 - 1 ;

to get:

         x - 1 = 2y ;

___________________________________

↔  Rewrite as :

2y = x - 1 ;

Now, divide each side of the equation by "2" ;

  to isolate "y" on the left-hand side of the equation;

  & to solve in terms of "y":

___________________________________

2y / 2 = (x-1)/2 ;

___________________________________

to get:

y = (x-1)/2 ;

or; write as:  y = (x/2) - (1/2);

___________________________________

Now, rewrite; by replacing the "y" with "f⁻¹(x) "; as follows (to indicate that this is the "inverse function"):

___________________________________

f⁻¹(x) = (x-1)/2 ;  or, write as:

___________________________________

f⁻¹(x) = (x/2) - (1/2) .

___________________________________

Hope this is helpful to you!

 Best wishes!

___________________________________

What is 6 y minus 3 x = negative 18 written in slope-intercept form?

Answers

Answer:because that’s what the answer is

Step-by-step explanation:

Answer:

Y=1/2x-3

Step-by-step explanation:

What is the value of m in the equation
zm = 16, when n = 8?

Answers

Step-by-step explanation:

nm=16

m=16/n

m=16/8

m=2

1/3 of 12 =2/3 of PLEASE HELP ME!!!!!!!!!!!

Answers

Answer:

6

Step-by-step explanation:

Let the number be x.

1/3 × 12 = 2/3 × x

Multiply.

12/3 = 2/3x

4 = 2/3x

Multiply both sides by 3/2.

4 × 3/2 = x

12/2 = x

x= 6

Answer:

1/3 of 12 = 2/3 of 6

Step-by-step explanation:

1/3 · 12 = 2/3 · x

12/3 = 2x/3

Multiply 3 on both sides.

12 = 2x

12 ÷ 2 = x

6 = x

Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown below.
Darius's scores: 96,54, 120, 87, 123
Barb's scores: 92, 98, 96, 94, 110
Barb says that she is the winner. Darius says that it is a tie, Who is correct?
O Barb is correct if both the mean and median scores are considered.
O Barb is correct if only the median score is considered
O Darius is correct if both the mean and median scores are considered,
O Darius is correct if only the median score is considered.

Answers

Answer:

D. I hope it helps!

Step-by-step explanation:

Darius is correct if only the median score is considered.

just took the quiz on edg.

HELP ASAP ! Identify the volume and surface area of a sphere in terms of pi with a great circle area of 144pi ft^2.

Answers

Answer:

Area of sphere = 576 pi ft^2

Volume of sphere = 2,304 pi ft^3

Step-by-step explanation:

Radius of great circles are the same as radius of the sphere

So let’s calculate the radius of the sphere from the area given;

Mathematically;

pi * r^2 = 144pi

r^2 = 144

r = square root of 144

r = 12 ft

Volume of sphere = 4/3 * pi * r^3

= 4/3 * pi * 12^3 = 2,304 pi ft^3

Area of sphere = 4 * pi * r^2 = 4 * pi * 12^2 = 4 * 144 * pi = 576 pi ft^2

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