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+25𝐶=1.25𝑚+25, where C𝐶 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(2,2.5)(2,2.5) and (4,5)(4,5)left parenthesis 2 comma 2.5 right parenthesis and left parenthesis 4 comma 5 right parenthesis(30,4)(30,4) and (35,8)(35,8)left parenthesis 30 comma 4 right parenthesis and left parenthesis 35 comma 8 right parenthesis(2,22.5)(2,22.5) and (4,20)(4,20)left parenthesis 2,22.5 right parenthesis and left parenthesis 4 comma 20 right parenthesis(4,30)(4,30) and (8,35)

Answer 1

To determine which points from the options provided would appear on the plot of the linear function \( C = 1.25m + 25 \), we can substitute the values of \( m \) (miles driven) into the equation to find the corresponding \( C \) (total cost).

Let's evaluate each pair of points:

1. For (2, 2.5): \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \] This point does not match (2, 2.5).

2. For (4, 5): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \] This point does not match (4, 5).

3. For (30, 4): \[ C = 1.25(30) + 25 = 37.5 + 25 = 62.5 \] This point does not match (30, 4).

4. For (35, 8): \[ C = 1.25(35) + 25 = 43.75 + 25 = 68.75 \] This point does not match (35, 8).

5. For (2, 22.5): \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \] This point does not match (2, 22.5).

6. For (4, 20): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \] This point does not match (4, 20).

7. For (4, 30): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \] This point matches for \( m = 4 \).

8. For (8, 35): \[ C = 1.25(8) + 25 = 10 + 25 = 35 \] This point matches for \( m = 8 \).

So the points that would appear based on the equation \( C = 1.25m + 25 \) are:

• (4, 30)
• (8, 35)

Thus, the answer from the options you provided is (4, 30) and (8, 35).