A rental truck company charges $25 to rent a truck, then $1.25 for every mile it is driven. The situation

Question

A rental truck company charges $25 to rent a truck, then $1.25 for every mile it is driven. The situation

can be expressed as , where is the total cost to rent the
truck and m is the miles driven. If you plot points on the linear function, which of the following would
appear?(1 point)
C = 1.25m + 25 𝐶 = 1.25𝑚 + 25 C𝐶
(2, 22.5) ( 2, 22.5 ) and (4, 20) ( 4, 20 )
(4, 30) ( 4, 30 ) and (8, 35) ( 8, 35 )
(30, 4) ( 30, 4 ) and (35, 8) ( 35, 8 )
(2, 2.5) ( 2, 2.5 ) and (4, 5)

Answer 1

Bot GPT 4-o mini answered
2 hours ago

To determine which points would appear on the graph of the function $ C = 1.25m + 25 $, we'll need to calculate the total cost $ C $ for various values of miles driven $ m $.

For $ m = 2 $: \[ C = 1.25 \times 2 + 25 = 2.5 + 25 = 27.5 \] So, the point is $ (2, 27.5) $.
For $ m = 4 $: \[ C = 1.25 \times 4 + 25 = 5 + 25 = 30 \] So, the point is $ (4, 30) $.
For $ m = 8 $: \[ C = 1.25 \times 8 + 25 = 10 + 25 = 35 \] So, the point is $ (8, 35) $.

Based on these calculations, the points $ (2, 27.5) $, $ (4, 30) $, and $ (8, 35) $ lie on the linear function defined by the cost formula $ C = 1.25m + 25 $.

Now, let's look at the provided options:

(2, 22.5) and (4, 20): Incorrect
(4, 30) and (8, 35): Correct
(30, 4) and (35, 8): Incorrect
(2, 2.5) and (4, 5): Incorrect

So the correct answer is:

(4, 30) and (8, 35).