18. Elyse has a gift card that she can use to
rent movies online. The graph shows the amount of
money remaining on her gift card based on the number
of movies she rents.
a. Write an equation to represent the situation.
b. What is the y-intercept, and what does it mean in the
context of the situation?
c. What is the slope, and what does it mean in the context
of the situation?
Answers
Answer:
Step-by-step explanation:
The complete question in the attached figure
Let
x ----> the number of movies
y ----> the amount of money remaining on her gift card
we know that
The slope of the linear equation is equal to the unit rate
take two points from the graph
(0,18) and (2,12)
Find the slope
---> is negative because is a decreasing function
That means -----> Each movie she rents cost her $3, so her gift card balance will decrease $3 for every movie rented
The linear equation is equal to
For y=0
so
6 is the maximum number of movies that Elyse can rent on line
The solution is
a) The equation of line is y = -3x - 6
b) The y-intercept of the line is -6 which means when the number of movies x = 0 , the amount on gift y = -6
c) The slope of the line is -3 which means the rate of change of amount on gift is decreasing with number of movies x
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be A
The value of A = A ( 2 , 12 )
Let the second point be B = B ( 4 , 6 )
a)
Now , the slope of the line is given by the equation
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
On substituting the values in the equation , we get
Slope m = ( 6 - 12 ) / ( 4 - 2 )
Slope m = -6/2
Slope m = -3
Therefore , the slope is -3
The equation of line is given by the formula
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 12 = -3 ( x - 2 )
On simplifying the equation , we get
y - 12 = -3x + 6
Adding 12 on both sides of the equation , we get
y = -3x - 6
So , the equation of line is y = -3x - 6
b)
The y intercept of the equation of line y = -3x - 6 is -6 , when x = 0
c)
The slope of the line y = -3x - 6 is m = -3 and the value is decreasing
Hence ,
a) The equation of line is y = -3x - 6
b) The y intercept of the equation of line y = -3x - 6 is -6
c) The slope of the line y = -3x - 6 is m = -3
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Related Questions
Can you please help me
Answers
9 - x = 6; x = 15 6x = 24; x = 6 35 = 5x; x = 7 x + 10 = 21; x = 31
which one is right
Answers
Answer:
35 = 5x ; x = 7
Step-by-step explanation:
plug 7 in for x
35 = 5(7)
35 = 35
hope this helps!!!
Answer:
It might be the 9 - x = 6 one IF x = 3. I'm not sure, I cant see the whole question
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Answer:
I think option C.) 0 < × > 10.Can somebody please tell me if you can ever get the EXACT area of a circle and explain why or why not?
Answers
Answer:
No, Circles never have a side, which makes it always a decimal when trying to find the area of any circle.
What is the likelihood of rolling a 10 on a fair number cube numbered 1-6?
O likely
O equal
O unlikely
O impossible
Answers
Answer:
equal is my answer ................
if you answer this you are a certified cool kid
Answers
Answer:
60
Step-by-step explanation:
Im too lazy
180-117=63
3y+12+63+4y=180
7y+75=180
7y=105
y=15
4(15)=60
Can i get brainliest?
Answer:
<A=60
Step-by-step explanation:
3y+12+4y=117
solve for y (y=15),
then fill in 4(15)
In a survey of 706 parents with kids 4 to 8 years old. 346 say that they know their state booster seat law. Construct a 90% confidence interval for the population proportion.
Answers
Answer:
(0.46, 0.52)
Step-by-step explanation:
The formula for Confidence Interval with Proportion
CI = p ± z × √p(1 - p)/n
Where
p = Proportion = x/n
x = 346
n = 706
p = 346/706
p = 0.49
z = z score of Confidence Interval 90% = 1.645
Therefore:
CI = 0.49 ± 1.645 × √0.49(1 - 0.49)/706
CI = 0.49 ± 1.645 × √0.49 × 0.51/706
CI = 0.49 ± 1.645 × 0.0188139843
CI = 0.49 ± 0.0309490042
Hence:
Confidence Interval is
0.49 - 0.0309490042
= 0.4590509958
≈ 0.46
0.49 + 0.0309490042
= 0.5209490042
≈ 0.52
Therefore , the confidence interval of the population proportion is
(0.46, 0.52)
The low temperature on Wednesday was –15°F. What was the absolute value below zero for the temperature on Wednesday?
A)-15
B)0
c)15
D)30
Answers
Answer:
C. 15
Step-by-step explanation:
Absolute value is just how far away the number is on the number line and is always positive.
14. Ms. Brooks cell phone plan charges $27.00 a month for her phone. She is charged $0.15 per text she sends. She sends 78 texts in one month. WRITE AN EQUATION to find the total amount due. Use "T" as your variable for the total amount due. (You do not need to solve your equation.)
Answers
Answer:
$27.00 + 0.15t =
Step-by-step explanation:
Victoria earns 10 dollars for every hour worked. Write a relation for Victoria's earnings using N to represent hours of work.
Answers
Answer:
10N
Step-by-step explanation:
If she earns 10 dollars every hour, and N is the number of hours, then to find how much money she earns in N hours, it will be 10N
Write a slope intercept equation for the following table
Answers
Answer:
Step-by-step explanation:
(-2, -2) (-1, 2)
(2 + 2)/(-1 + 2) = 4/1 = 4
y + 2 = 4(x + 2)
y + 2 = 4x + 8
y = 4x + 6
A person invested $510 in an account growing at a rate allowing the money to double every 9 years. How long, to the nearest tenth of a year would it take for the value of the account to reach $790?
Answers
Answer:
5.7
Step-by-step explanation:
I will give u BRAINLIEST for the correct answer
Answers
Answer:
1:6
Step-by-step explanation:
12+4+8= 24 total fruit.
4 bananas : 24 total = 1:6
In HIJ, the measure of J=90°, HI = 65 feet, and IJ = 31 feet. Find the measure of
H to the nearest tenth of a degree.
Answers
Answer:
28.5
Step-by-step explanation:
28.5 delta said it was correct
Work out the median for each group of numbers.
3, 5, 7, 7, 8, 10, 11, 11, 14
10, 11, 13, 14, 16, 18, 20, 20
3, 4, 6, 6, 6, 7, 8, 9, 10
41, 43, 44, 46, 48, 49, 50, 50, 53, 54
Answers
Answer:
its 11.
hope it helps!!
Answer:
1stone is 8
2nd one is 15
3rd one is 6
4th one is 48.5
5. Squirrels collect acorns and store them away for the winter. Squirrel A
collects A acorns a day and Squirrel B collects 7 acorns a day. Squirrel C
collects 3 times as many acorns as Squirrel A and B a day. If all the
squirrels collected a total of 57 acorns, how many acorns did Squirrel A
mlect?
Answers
Answer:
lololololololol
Step-by-step explanation:
no 7ytnjybfdhdhdshfdsvhsvsh
Help!!!! Volume of a cylinder!!!!
Answers
Answer:
6280
Step-by-step explanation:
π10^2(20)
Find the common difference of the arithmetic sequence.
-4, -11/3, -10/3
Answers
-10/3-(-11/3)=1/3
-11/3-(-4)=1/3 also the common difference is 1/3
Chazmire purchases 14 bags of flour for her bakery.Each bag of flour cost $2.47. How much does chazmire soend for flout
Answers
Answer:
$34.58
Step-by-step explanation:
If each bag of flour cost $2.47, then;
1 bag = $2.47
To calculate the cost of 14bags;
14 bags = x
x is the cost of 14 bags
Divide both expressions
1/14 = 2.47/x
cross multiply
1 * x = 14 * 2.47
x = $34.58
Hence Chazmire spent $34.58 on flour
Barky's animal shelter has a total of 15
Chihuahuas and Yorkies. There are four
times as many Chihuahuas as Yorkies.
Using c for Chihuahuas and y for Yorkies,
determine which equation may be
used to represent this situation.
c=4+y
y=4+c
y=4c
c=4y
Answers
Answer:
c = 4y
Step-by-step explanation:
Are there more, Chihuahuas or Yorkies?
Does the word 'times' mean add, subtract, multiply or divide?
The way I look at it, there are more Chihuahuas and 'times' means multiply. Do you agree?
Therefore, I need to multiply 4 times the no. of Yorkies to get the no. of Chihuahuas
So, c = 4y
Now, I don't see an equation in the list to choose from. So, I don't know what to do from here. I am guessing that c = 4y is what you want.
If Debbie starts a retirement account with 10,000 dollars that has an annual rate of return of 12%, how long (in years) would it take for her to have at least 100,000 dollars if interest is compounded continuously?
Answers
Answer:
19.2 years
Step-by-step explanation:
The formula to find the time in a compound interest that is compounded continuously is given as:
t = ln(A/P) / r
Where:
t = time in years = ??
A = Amount after Interest is compounded continuously = $100,000
P = Initial Amount in the retirement account = $10,000
r = Rate of return = 12%
First, convert R percent to r a decimal
r = R/100
r = 12%/100
r = 0.12 per year,
Then, solve our equation for t
t = ln(A/P) / r
t = ln(100,000.00/10,000.00) / 0.12
t = 19.188 years
Approximately t = 19.2 years
In triangle PQR, angle P and R are complementary angles where cos P =(0.3) what is the measure in degrees of angle R round to the nearest tenth
Answers
Answer:
[tex]R = 17.5[/tex]
Step-by-step explanation:
Given
P and R are complementary
[tex]Cos\ P =0.3[/tex]
Required
Find the measure of R
[tex]Cos\ P =0.3[/tex]
Take arccos of both sides
[tex]P = cos^{-1}(0.3)[/tex]
[tex]P = 72.5[/tex]
Since P and R are complementary, then:
[tex]P + R = 90[/tex]
Make R the subject
[tex]R = 90 - P[/tex]
Substitute values for P
[tex]R = 90 - 72.5[/tex]
[tex]R = 17.5[/tex]
Please help! I need this fast
Rhett decides to build a square room for his movie and music collection. If the area of the room is 4x2 + 28x + 49 square feet, what is the length of one side of the room?
(7x + 2) feet
(2x + 7) feet
(2x − 7) feet
(7x − 2) feet
Answers
Answer:
(2x + 7) feet
Step-by-step explanation:
I'm guessing the expression there is
4x² + 28x + 49
4x² +14x +14x +49
Factorize
2x ( 2x + 7) +7( 2x + 7)
(2x + 7)²
Area = (side)1
One side is (2x +7)
*5. Gina's sister is 9 years older than Gina. Their combined ages add up to
49. How old is Gina? *
A. 29 years
B. 20 years
C. 19 years
D. 9 years
Answers
Answer:
B. 20 years
Step-by-step explanation:
By using the process of trial and error, if Gina is 20 years old, that would mean her sister is 29 years old. This is because 20+9 is equal to 29. 29+20 sums up to 49.
Answer: B. 20 years
Step-by-step explanation:
we will represent Gina sister's age by x and Gina's age by y.
Now were know that the age of Gina sister is 9 years older than Gina's so we can represent that by the equation x = y + 9
If we add their ages it is 49 so we can also represent that by the equation,
x + y = 49.
x = y + 9
x + y = 49
Using both equations, substitute x in the first equation into the second equation and solve for y.
(y + 9) + y = 49 solve for y , by first combining like terms.
2y + 9 = 49 subtract 9 from both sides
-9 -9
2y = 40 divide both sides by 2
y = 20
Since y was used to represent the age of Gina then Gina will be 20 years old.
Beginning at its highest point, a drop tower ride drops 130 feet to a point 95 feet above the ground, then climbs to the top to drop again. What is the highest point of the rides
Answers
Answer:
The highest point of the rides is 225 feet
Step-by-step explanation:
Given
The Point X is above the ground by [tex]95[/tex] feet
The tower ride drops from a point A which is [tex]130[/tex] feet above the point X
The total distance between point A and X is the highest point of the rides.
Total distance
[tex]= 95 +130 \\= 225[/tex]feet
help with slop please o
Answers
Answer:
Step-by-step explanation:
(-1, 4) (0, 1)
(1 - 4)/(0+1)= -3/1 = -3
Answer:
- 3
Step-by-step explanation:
(-1, 4) (0, 1) = - 3
This is the last question i need help ,plz help
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Answer:
a. y=8.5x
Step-by-step explanation:
Answer:
A y=8.5x
Step-by-step explanation:
..............
What type of function does the equation below represent? y = 6 x
Answers
Answer:
Step-by-step explanation:
it represents a linear function
Simplify the following expression by combining like terms:
9ab + 2b - 3a + 2b - ab + 3a
Answers
Answer:
8ab+4b
Step-by-step explanation:
9ab-ab=8ab
2b+2b=4b
-3a+3a=0
Answer:
8ab+4b
Step-by-step explanation:
Help with explanation please and thank you
Answers
Answer:
Formula is given
Step-by-step explanation:
Hope this is correct and helpful
HAVE A GOOD DAY!
Answer:
0
Step-by-step explanation:
Hope this helps you.........