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Chapter 2: Problem 4

A moving company charges \(\$ 50\) per hour for each person working, plus an additional \(\$ 0.50\) per mile driven. If Fritz hires 3 movers for 2 hours of work apiece and the total distance driven is 40 miles, which of the following represents the equation for his total cost? A. \(\$ 50 \times 3+40 \times(\$ 0.50) \times 2\) B. \(\frac{\$ 50 \times 3}{2}+40 \times(\$ 0.50)\) C. \(\$ 50 \times 3 \times 2+40 \times(\$ 0.50)\) D. \(\$ 50 \times 3 \times 2+\frac{40}{(\$ 0.50)}\)

Short Answer

Expert verified
C. \(\$ 50 \times 3 \times 2+40 \times(\$ 0.50)\)

Step by step solution

01

Calculate the cost of movers working

To find the cost of movers working, we need to multiply the hourly rate of a mover (\(\$50\)) by the number of movers (3) and the total hours each mover works (2). The equation for the cost of movers working would be: \(\$50 \times 3 \times 2\).
02

Calculate the cost of miles driven

To find the cost of miles driven, we need to multiply the cost per mile (\(\$0.50\)) by the total distance driven (40 miles). The equation for the cost of miles driven would be: \(40 \times (\$0.50)\).
03

Calculate the total cost

Now, we need to add the cost of movers working and the cost of miles driven to find the total cost. The equation for the total cost would be: \(\$50 \times 3 \times 2 + 40 \times (\$0.50)\).
04

Compare the options

Finally, we need to compare our equation with the given options and identify the correct one. Our equation is: \(\$50 \times 3 \times 2 + 40 \times (\$0.50)\). It matches option C in the exercise, so the correct answer is: C. \(\$ 50 \times 3 \times 2+40 \times(\$ 0.50)\)

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