Mills Edwards
04/23/2023 · Primary School
Combining functions to write a new function that models a real-world... A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge \( S \) (in dollars) is given by tl function \( S=0.40 M+15.75 \), where \( M \) is the number of miles driven. The company also offers an option to insure the car against damage. The insurance charge \( I \) (in dollars) is given by the function \( I=0.15 M+5.70 \). Let the total charge (in dollars) for a rental that includes insurance. Write an equation relating \( C \) to \( M \). Simplify your answer as much as possible.
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The equation relating the total charge \( C \) to the number of miles driven \( M \) is \( C = 0.55M + 21.45 \).
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