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A camera rental company charges a fixed amount plus a fee based on the number of days for which the camera is rented. The graph below shows the amount paid for a different number of days to rent the camera:


A graph titled Camera Rentals plots the Number of Days on the x axis and the Amount in dollars on the y axis. A straight line joins the ordered pairs 0, 40 and 4, 120.


What is the fixed amount charged?


$20

$30

$40

$80

Verified Answer :

meerkat18

Given:
x   y
0  40
4  120

y = fixed amount + v(x)
y = 40 + v(0)
y = 40

y = 40 + v(x)
120 = 40 + v(4)
120 - 40 = v(4)
80 = v(4)
80/4 = v
20 = v

y = 40 + 20x

The fixed amount charged is 40.

The variable amount is 20 per day.

Answer:

$40

Step-by-step explanation:

We are given two points (0, 40) and (4, 120).

Now to find the equation which represents A graph titled Camera Rentals plots the Number of Days on the x axis and the Amount in dollars on the y axis.

To Find equation we will use two point slope form.

Formula: @@MATH_TOKEN_0@@

@@MATH_TOKEN_1@@

@@MATH_TOKEN_2@@

Substitute the values in the formula

@@MATH_TOKEN_3@@

@@MATH_TOKEN_4@@

@@MATH_TOKEN_5@@

@@MATH_TOKEN_6@@

The equation represents the situation : @@MATH_TOKEN_7@@

where x is the number of days

y is the Amount in dollars

Now we are supposed to find the fixed amount charged.

So, we need to substitute x i.e. number of days=0

So, @@MATH_TOKEN_8@@

@@MATH_TOKEN_9@@

Hence the fixed amount charged is $40.

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