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 C=1.25m+25 , where C 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) Responses (2,22.5) and (4,20) left parenthesis 2,22.5 right parenthesis and left parenthesis 4 comma 20 right parenthesis (2,2.5) and (4,5) left parenthesis 2 comma 2.5 right parenthesis and left parenthesis 4 comma 5 right parenthesis (4,30) and (8,35) left parenthesis 4 comma 30 right parenthesis and left parenthesis 8 comma 35 right parenthesis (30,4) and (35,8)

Question

GPT-4o mini · Answer

To check which points appear on the linear function $ C = 1.25m + 25 $, we can substitute the values of $ m $ (miles driven) into the equation to calculate the corresponding $ C $ (total cost):

For $ m = 2 $: \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \] So, the point $ (2, 27.5) $ does not appear in any of the response options.
For $ m = 4 $: \[ C = 1.25(4) + 25 = 5 + 25 = 30 \] So the point $ (4, 30) $ does appear.
For $ m = 8 $: \[ C = 1.25(8) + 25 = 10 + 25 = 35 \] So the point $ (8, 35) $ does appear.

Now, let's summarize the points calculated:

$ (2, 27.5) $
$ (4, 30) $
$ (8, 35) $

Now, let's check the response options:

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

Thus, the correct response that would appear based on the linear function is (4, 30) and (8, 35).