Question 19

The cost of renting a car for d days and driving m miles is represented by the equation 45d + 0.25m.

The total cost of renting the car includes a daily rental fee of $45 for each day (d) and a mileage cost of $0.25 for each mile driven (m). Therefore, the correct representation of the total cost is 45d + 0.25m.

A) 45+.25+ d+m

This option incorrectly suggests a fixed cost of $45 with a flat addition of $0.25, d, and m, rather than multiplying the daily cost by the number of days and the per-mile cost by the number of miles. This does not accurately reflect the total rental cost.

B) 45.25+ dm

This option also misrepresents the cost by adding 45.25 as a single figure, which does not correspond to the daily rental cost multiplied by the number of days. The term dm incorrectly implies a multiplication of days and miles without considering their respective costs.

C) 45d +.25m

This option correctly captures the total cost by multiplying the daily rental fee of $45 by the number of days (d) and adding the cost of driving m miles at $0.25 per mile. This accurately reflects the structure of the total expenses incurred.

D) 45/d +25/m

This choice suggests dividing the rental cost by the number of days and the mileage cost by the number of miles, which does not represent the total cost correctly. It misinterprets the relationship between the days rented and the miles driven.

Conclusion

Option C is the only choice that accurately represents the total cost of renting a car for d days and driving m miles. It correctly combines the daily rental fee multiplied by the number of days with the mileage cost multiplied by the number of miles, while all other options fail to appropriately structure the cost components.