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

1 answer

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):

  1. 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.

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

  3. 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:

  1. Response (2, 22.5) and (4, 20): Incorrect.
  2. Response (2, 2.5) and (4, 5): Incorrect.
  3. Response (4, 30) and (8, 35): Correct.
  4. 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).