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

Question

, 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

(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)
left parenthesis 30 comma 4 right parenthesis and left parenthesis 35 comma 8 right parenthesis

(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)

Answer 1

The cost function is given by \( C = 1.25m + 25 \). To determine which points are on this line, we can substitute the values of \( m \) into the equation and see if the corresponding \( C \) values match the given points.

Let's evaluate the options one by one:

1. For (4, 30): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \] This point works.

   For (8, 35): \[ C = 1.25(8) + 25 = 10 + 25 = 35 \] This point also works.

   The points (4, 30) and (8, 35) are correct.

2. For (30, 4): \[ C = 1.25(30) + 25 = 37.5 + 25 = 62.5 \] This point does not work.

   For (35, 8): \[ C = 1.25(35) + 25 = 43.75 + 25 = 68.75 \] This point does not work.

   The points (30, 4) and (35, 8) are incorrect.

3. For (2, 22.5): \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \] This point does not work.

   For (4, 20): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \] This point also does not work.

   The points (2, 22.5) and (4, 20) are incorrect.

4. For (2, 2.5): \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \] This point does not work.

   For (4, 5): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \] This point does not work.

   The points (2, 2.5) and (4, 5) are incorrect.

Conclusion:

The correct answer is (4, 30) and (8, 35).