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