Question

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

Answer 1

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 2

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: $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$(x_1,y_1)=(0,40)$

$(x_2,y_2)=(4,120)$

Substitute the values in the formula

$y-40=\frac{120-40}{4-0}(x-0)$

$y-40=\frac{80}{4}x$

$y-40=20x$

$y=20x+40$

The equation represents the situation : $y=20x+40$

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, $y=20(0)+40$

$y=40$

Hence the fixed amount charged is $40.