Question

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 mile driven. If you plot points on the linear function, which of the following would appear?

Answer 1

To plot points on the linear function \( C = 1.25m + 25 \), we can choose several values of \( m \) (the number of miles driven) and then calculate the corresponding \( C \) (total cost).

Let's calculate a few points:

1. If \( m = 0 \) (no miles driven):
\[
C = 1.25(0) + 25 = 25
\]
Point: \( (0, 25) \)

2. If \( m = 10 \) (10 miles driven):
\[
C = 1.25(10) + 25 = 12.5 + 25 = 37.5
\]
Point: \( (10, 37.5) \)

3. If \( m = 20 \) (20 miles driven):
\[
C = 1.25(20) + 25 = 25 + 25 = 50
\]
Point: \( (20, 50) \)

4. If \( m = 30 \) (30 miles driven):
\[
C = 1.25(30) + 25 = 37.5 + 25 = 62.5
\]
Point: \( (30, 62.5) \)

5. If \( m = 40 \) (40 miles driven):
\[
C = 1.25(40) + 25 = 50 + 25 = 75
\]
Point: \( (40, 75) \)

The following points can be plotted from the calculations above:
- \( (0, 25) \)
- \( (10, 37.5) \)
- \( (20, 50) \)
- \( (30, 62.5) \)
- \( (40, 75) \)

These points would appear on the graph of the linear function \( C = 1.25m + 25 \). You can plot these points to visualize the relationship between miles driven and the total cost of renting the truck. The line will have a y-intercept at \( 25 \) and a slope of \( 1.25 \), indicating the incremental cost per mile driven.