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tester [92]
3 years ago
8

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
Mathematics
2 answers:
bija089 [108]3 years ago
7 0
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.
barxatty [35]3 years ago
4 0

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.

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