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:
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If \( m = 0 \) (no miles driven): \[ C = 1.25(0) + 25 = 25 \] Point: \( (0, 25) \)
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If \( m = 10 \) (10 miles driven): \[ C = 1.25(10) + 25 = 12.5 + 25 = 37.5 \] Point: \( (10, 37.5) \)
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If \( m = 20 \) (20 miles driven): \[ C = 1.25(20) + 25 = 25 + 25 = 50 \] Point: \( (20, 50) \)
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If \( m = 30 \) (30 miles driven): \[ C = 1.25(30) + 25 = 37.5 + 25 = 62.5 \] Point: \( (30, 62.5) \)
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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.