A truck rental company rents a moving truck for one day by charging $27 plus $0.

ringearV 2021-09-20 Answered
A truck rental company rents a moving truck for one day by charging $27 plus $0.10 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost of renting the truck if the truck is driven 187 miles? 439 miles?
Type the linear equation that relates the cost C, in dollars, of renting the truck to the number of x miles driven.
\(\displaystyle{C}=\)
What is the cost of renting the truck if the truck is driven 187 miles?
\(\displaystyle{C}=\$?\)
What is the cost of renting the truck if the truck is driven 439 miles?
\(\displaystyle{C}=\$\)

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Expert Answer

coffentw
Answered 2021-09-21 Author has 14785 answers
Step 1
Let's assume that Truck travel distance x miles a day, from question it is given that truck rental company rents a moving truck for a day by charging $27 plus $0.10 per mile.
Variable C represent the cost in dollars for renting a truck.
Thus, linear equation that relates the cost C(in dollars) of renting the truck to the number of x miles driven as below:
C(in dollars) \(\displaystyle=\${\left({0.10}{x}+{27}\right)}\)
Step 2
To evaluate the cost of renting the truck if the truck driven 187 miles, put \(\displaystyle{x}={187}\) into C(in dollars) \(\displaystyle=\${\left({0.10}{x}+{27}\right)}\) as below:
C(in dollars) \(\displaystyle=\${\left({0.10}{\left({187}\right)}+{27}\right)}\)
\(\displaystyle=\${\left({18.7}+{27}\right)}\)
\(\displaystyle=\${45.7}\)
Hence, cost of renting the truck if the driven 187 miles $45.7.
To evaluate the cost of renting the truck driven 439 miles, put \(\displaystyle{x}={439}\) into C(in dollars) \(\displaystyle=\${\left({0.10}{x}+{27}\right)}\) as below:
C(in dollars) \(\displaystyle=\${\left({0.10}{\left({439}\right)}+{27}\right)}\)
\(\displaystyle=\${\left({43.9}+{27}\right)}\)
\(\displaystyle=\${70.9}\)
Hence, cost of renting the truck driven 439 miles is $70.9.
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