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)

Question

Responses

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

(2,22.5) and (4,20)
left parenthesis 2,22.5 right parenthesis and left parenthesis 4 comma 20 right parenthesis

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

(4,30) and (8,35)

Answer 1

To determine which points would appear on the linear function \( C = 1.25m + 25 \), we can substitute the values of \( m \) (miles driven) from each pair of options into the equation and see if we get the corresponding value for \( C \) (total cost).

1. For (2, 2.5):

   • \( m = 2 \)
   • \( C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \) (not (2, 2.5))

2. For (4, 22.5):

   • \( m = 4 \)
   • \( C = 1.25(4) + 25 = 5 + 25 = 30 \) (not (4, 22.5))

3. For (30, 4):

   • \( m = 30 \)
   • \( C = 1.25(30) + 25 = 37.5 + 25 = 62.5 \) (not (30, 4))

4. For (35, 8):

   • \( m = 35 \)
   • \( C = 1.25(35) + 25 = 43.75 + 25 = 68.75 \) (not (35, 8))

5. For (4, 30):

   • \( m = 4 \)
   • \( C = 1.25(4) + 25 = 5 + 25 = 30 \) (this is correct)

6. For (8, 35):

   • \( m = 8 \)
   • \( C = 1.25(8) + 25 = 10 + 25 = 35 \) (this is also correct)

Thus, the points (4, 30) and (8, 35) satisfy the equation \( C = 1.25m + 25 \). Therefore, the correct response is:

(4, 30) and (8, 35)