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

Question

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
(4,30)
and (8,35)
left parenthesis 4 comma 30 right parenthesis and left parenthesis 8 comma 35 right parenthesis
(2,2.5)
and (4,5)
left parenthesis 2 comma 2.5 right parenthesis and left parenthesis 4 comma 5 right parenthesis
(30,4)
and (35,8)

Answer 1

To determine which points would appear on the linear function \( C = 1.25m + 25 \), we can plug the \( m \) values into the equation to calculate the corresponding \( C \) values.

1. For \( m = 2 \): \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \] So, the point is \( (2, 27.5) \).

2. For \( m = 4 \): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \] So, the point is \( (4, 30) \).

3. For \( m = 30 \): \[ C = 1.25(30) + 25 = 37.5 + 25 = 62.5 \] So, the point is \( (30, 62.5) \).

4. For \( m = 35 \): \[ C = 1.25(35) + 25 = 43.75 + 25 = 68.75 \] So, the point is \( (35, 68.75) \).

The valid points calculated above are:

• \( (2, 27.5) \)
• \( (4, 30) \)

Comparing the points with the responses provided, the only valid response is: (4,30) and (8,35) is incorrect since we did not calculate for \( m = 8 \).

So, the confirmed point that matches is \( (4, 30) \). To check for \( (8, 35) \):

5. For \( m = 8 \): \[ C = 1.25(8) + 25 = 10 + 25 = 35 \] So \( (8, 35) \) is also valid.

Therefore, the correct response is: (4, 30) and (8, 35).