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

To determine which points would appear on the linear function given by the equation \( C = 1.25m + 25 \), we can substitute the values of \( m \) from each of the response options into the equation to see if they yield the corresponding \( C \) values.

1. For (2, 22.5):

   • \( m = 2 \)
   • \( C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \) (not equal to 22.5)

2. For (4, 30):

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

3. For (8, 35):

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

4. For (2, 2.5):

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

5. For (4, 5):

   • \( m = 4 \)
   • \( C = 1.25(4) + 25 = 5 + 25 = 30 \) (not equal to 5)

6. For (30, 4):

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

7. For (35, 8):

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

Based on the evaluations, the following points are valid:

• \( (4, 30) \)
• \( (8, 35) \)

Thus, the correct points that appear on the linear function are \( (4, 30) \) and \( (8, 35) \).