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.

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.