Kyla wants to add songs to her phone to listen to while she is riding on the bus. She bought 100 songs on her account.She is planning to download an equal number of songs each week for the next 5 weeks. The number of songs left to download, y, for a certain number of weeks, c is shown in the graph.

A graph titled Song Downloading shows Number of Weeks on x-axis and Number of Songs Left to Download on y-axis. The x-axis scale is shown from 0 to 5 at increments of 1, and the y-axis scale is shown from 0 to 140 at increments of 20. A straight line joins the ordered pairs 0, 100 and 1, 80 and 2, 60 and 3, 40 and 4, 20 and 5, 0.

Part A: Determine the rate of change and the initial value (2 points) of the function show on the graph. What does each represent in the scenario (2 points)? Show/Explain the work you completed to find the rate of change and initial value (2 points).

Part B: Using the information from Part A, write the equation that would model this relationship between x and y in slope-intercept form. (4 points)

Answers

Answer 1

Answer:

Slope = - 20; intercept, c = 100

y = - 20x

Step-by-step explanation:

The slope (s) = Rise / Run

using the pairs : (0, 100) and (5, 0)

x1 = 0 ; y1 = 100 ; x2 = 5 ; y2 = 0

Rise = (y2 - y1) = (0 - 100) = - 100

Run = (x2 - x1) = (5 - 0) = 5

Slope = - 100 / 5

Slope = - 20

Using the slope intercept relation :

y = mx + c

m = slope ; c = intercept

y = - 20x + c

Using the point (4, 20) to find c

20 = - 20(4) + c

20 = - 80 + c

20 + 80 = c

100 = c

Hence, c = 100

Slope, m = number of songs downloaded per week

c = Total number songs at week 0

The equation expressed in slope intercept form:

General form:

y = mx + c

m = - 20 ; c = 100

y = - 20x + 100


Related Questions

What is the midpoint between points (4, 7) and (1, 1)?

Answers

Answer:

(2.5, 4)

Step-by-step explanation:

Refer to the formula above. We will sub our points into it.

(4, 7) (1, 1)

(x¹, y¹) (x², y²)

[tex]( \frac{4 +1}{2} \frac{7 + 1}{2} )[/tex]

(5/2, 8/2)

(2.5, 4)

Yep here we go again :
In the diagram below lines HA and BC are parallel. If angle GEC = 135 what is angle HDF?

If you don't know the question, or not sure, please don't answer it!

Whoever answers it right gets brainliest.

Answers

Step-by-step explanation:

Angle HDF is also 135 degrees as well. Alternate exterior angles are congruent.

factor completely6x2+8x+2. Fill in the blanks using the correct sign: 2(3x+ )(x+ )

Answers

Answer:

2(3x+1)(x+1)

Step-by-step explanation:

First, we factor out the common term, which is 2.

2(3x²+4x+1)

Then, we factor the polynomial inside the parenthesis.

2(3x+1)(x+1)

Answer:

2(3x + 1)(x + 1)

Step-by-step explanation:

Given

6x² + 8x + 2 ← factor out 2 from each term

= 2(3x² + 4x + 1) ← factor the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × 1 = 3 and sum = 4

The factors are + 3 and + 1

Use these factors to split the x- term

3x² + 3x + x + 1 ( factor the first/second and third/fourth terms )

= 3x(x + 1) + 1(x + 1) ← factor out (x + 1) from each term

= (3x + 1)(x + 1) , then

3x² + 4x + 1 = (3x + 1)(x + 1)

and

6x² + 8x + 2 = 2(3x + 1)(x + 1) ← in factored form

If I have $25.2, would it be $25.02 or $25.20?

Answers

Answer:

You would have $25.20

if it was 25.02 the 0 would be included, money can be rounded like this too

Answer:

Yeah he/she is correct because I did that too.

Step-by-step explanation:

what is the measurement of angle x

the angle on the right measures 54 degrees and the left measures 38 degrees

Answers

Answer:

16

Step-by-step explanation:

180 is a straight line.

x is among that line so you must subtract the angles you know from 180.

180-54-38= 16

Carlos got 5/6 of the test questions correct. This was 15 questions. How
many questions were on the test?

Answers

Answer:

5/6 is about a 84%, and 84% of 15 questions is 12.6. so the teacher just made the grading simplified

Step-by-step explanation:

hey what's
[tex] \sqrt{9} [/tex]

Answers

Answer:

√9= either +3 or -3 when u have factorised

Answer:

\sqrt{9} = ±3

as, the value of the square root of 9 can be expressed as +3 and -3 or we can say the roots of 9 are +3 and -3. Number 9 is the perfect square as it fulfils the criteria .

ENGOY YOUR DAY

#Captainpower

There are 56 female performers in a dance recital. The ratio of men to women is 3:8. How many men are in the dance recital?

Answers

There are 21 men at the dance recital

Answer:

56%8=7     so then u do this  (3 is the ratio of men) 3X7=21 and thats how u do it :D

Step-by-step explanation:

uhh i don't have one lol

You have two cans of paint, Can A and Can B. Can A contains 80% red paint and 20% blue. Can B contains half blue and half red. How much blue paint should be added to 3 liters of Can A to make it the same as Can B?

Answers

Answer:

0.9 liters.

Step-by-step explanation:

The difference between 20% of 3 and 50% of 3 is 30%. 30% of 3 liters is 0.9 liters so this is what you add to can A.

The graph below shows a linear representation of a jogger’s heartbeat in beats per minute, as his speed is increased (in feet per second). What is the slope of the line?

Answers

Answer:

The slope is 3.75 OR 3 3/4.

Step-by-step explanation:

So the formula for slope I am using NOW, is based on the variables I named my dimensions. WARNING: NOT SLOPE FORMULA YOU MIGHT BE USING

y = 95 - 80

x = 10 - 6

Slope Formula: y/x

Substituted Slope Formula: (95 - 80)/(10 - 6)

Simplified Substituted Slope Formula: 15/4 OR 3.75

Hope this helps!!

Answer:

15/4

Step-by-step explanation:

I checked ;)

Is (9, 0) a solution to the equation y = 9? yes no​

Answers

Answer:

I'm going to say no

Step-by-step explanation:

Because y in the pair y is zero not 9.

The terrace of a house is rectangular in shape with a length of 10m and a width of 5m. Find the volume of
rainfall collected on the terrace if its height is 1m, Express in liter.

Answers

Answer:

Step-by-step explanation:

Volume = Area of the base times the height

V = length * width * height

V = 10 * 5 * 1

V = 50 m^3

Now change it to liters

50 * 1000 = 50000 liters^3

Two balls are picked in succession without replacement -4 white balls and 5 green balls let Y be the random representing the number of green balls. Find the value of the random variable Y.

Answers

Answer:

If Y represents the number of green balls then it can have values from 0- 5

that is it can have all the value  0,1,2,3,4 and 5.

The probability of getting both balss green without replacement is 0.27778

Step-by-step explanation:

If the balls are not replaced then this is the dependent event .

The probability of getting the first ball is given be = 5/9

where 5 is the number of green balls and 9 is the total number of balls.

The probability of getting the second ball green given that first is also green is  = 5/9* 4/8= 20/72= 0.2778

If Y represents the number of green balls then it can have values from 0- 5

that is it can have all the value  0,1,2,3,4 and 5.

0 means there can be no green balls or white balls.

1 means there can be one green ball.

2 means there can be 2 green balls and so on.

In this exercise we have to use the knowledge of probability to calculate the chance of an event to occur, so you have to:

the chance of the event is 0.2778%

So organizing the information given in the statement is:

If the balls are not replaced then this is the dependent event .The probability of getting the first ball is given be = 5/95 is the number of green balls and 9 is the total number of balls.

So with this information we can write that:

[tex]5/9* 4/8= 20/72= 0.2778[/tex]

See more about probability at brainly.com/question/795909

gradient of line 6x+2y+9=0​

Answers

Answer:

gradient = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c( m is the slope (gradient) and c the y- intercept )

Given

6x + 2y + 9 = 0 ( subtract 6x + 9 from both sides )

2y = - 6x - 9 ( divide the 3 terms by 2 )

y = - 3x - [tex]\frac{9}{2}[/tex] ← in slope- intercept form

with gradient m = - 3

calculate: 3400*6 1/2 *1/100​

Answers

questions clear likhh

thank for extra points

Three times the differnece of fredicos age and 4, increased by 7, is greater than 37. What are possible values of fredicos age?

Answers

Answer:

Possible values of fredicos age satisfy [tex]x>14[/tex] where [tex]x[/tex] denotes fredicos age.

Step-by-step explanation:

Let [tex]x[/tex] denotes fredicos age.

Three times the difference of fredicos age and 4, increased by 7 = [tex]3(x-4)+7[/tex]

According to the question,

[tex]3(x-4)+7>37\\3(x-4)>37-7\\3(x-4)>30\\x-4>10\\x>10+4\\x>14[/tex]

So, possible values of fredicos age satisfy [tex]x>14[/tex]

Here, [tex]x[/tex] denotes fredicos age.

Plz plz, help I don't understand 24 points !!! Will mark brainiest for correct answers only quick!!!

Answers

the triangle is kinda square so multiply and you should get 24

Serena paid $194.99 for a game system and then bought two equally price games. If she spent a total of $284.97, what is the price, P, of one game? Right and solve an equation

Answers

Answer:

44.99

Step-by-step explanation:

284.97(total cost) - 194.99(system cost) = 89.98(money spent on games) / 2(total games) = 44.99 = 44.99 spent per game.

On a loan of $4,500 for 2 1/2 years at 4% per year, how much do you wind up paying to pay off the loan?

Answers

4/100= x/4,500 18,000/100= $180x2.5= $450

Answer:

4,950

Step-by-step explanation:

4,500*.10=450

4,500+450=4,950

Hope this helps:)

I NEED HELP WITH THIS ASAP!!!!

Lillian is in the business of manufacturing phones.
She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor.

Let CC represent the total cost, in dollars, of producing pp phones in a given day.

The table below has select values showing the linear relationship between pp and C.C.

Determine the fixed cost for rent and equipment.

P C
2 1200
4 1600
6 2000

Answers

Answer:

it's 4,1600

Step-by-step explanation:

I hope my answer can help you

pls help this is due soon check 2 that apply

Answers

Answer:

I am pretty sure it is option a and c

Sorry if i am wrong

Allison sells apples at the market. On a given day, the ratio of red delicious to Macintoshes to granny smiths sold is 4:3:2. If her truck can carry 180 bushels of apples, how many bushels of granny smiths should she include? *

Answers

Answer:

40

Step-by-step explanation:

80+60+40=180

There is 20 more of each type of apple

Please help due today

Answers

The surface area is 40 centimeters to the power of 2

Juan cuts a piece of rope that is 16 meter long into 2 equal pieces.

What is the length of each shorter piece of rope?

Enter your answer as a fraction in simplest form by filling in the boxes

Answers

the length of each shorter piece is 8m long. In a fraction 8/16 which is 1/2.

plz answer the picture below fast and correctly!

Answers

Answer:

a) BOC = 80⁰

b) COD = 60⁰

Step-by-step explanation:

..................

Answer:

BOC is 80 and COD is 60

Step-by-step explanation:

If DOF is 120 you subtract 40 from it because of of AOB then COD is the remaining of 180

Find the missing side length will give crown

Answers

Answer: First of all, how much is it in all?

Step-by-step explanation:

Answer:

9 cm

Step-by-step explanation:

Call that length x.

We have: x + 5 = 14

=> x = 14 - 5 = 9 cm

What is the slope of the line that connects the points (0.5, 4.5) and (1.5, 2.5)?​

Answers

Answer:

Slope is -2

Step-by-step explanation:

Slope is: -2 yghuysyaywu


URGENT PLEASE HELP ASAP

Answers

AHAHAHAHAHAHA SO JM IS EQUAL TO 29⁰ AND YOU NEED TO FIND ANGLE L BUT I DON'T KNOW WHAT IT EQUALS TO

Find the arc length of the semicircle with a radius of 5

Answers

7.85 is the approximate answer. (If pi is 3.14)

Steps are on paper.

HELP WILL GIVE BRAINLY!

Answers

Answer:

The second one

Step-by-step explanation:

on the f axis you can see that f is greater than or equal to 1 and less than or equal to 5.

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