A truck rental company rents a moving truck for one day by charging $ 34 plus $ 0.06 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 179 miles? 368 miles?
Accepted Solution
A:
Answer with explanation:Given : A truck rental company rents a moving truck for one day by charging $ 34 plus $ 0.06 per mile. i.e. Cost (in dollars) = 34 + 0.06 × No. of miles drivenLet x be the number of miles driven then the cost ( in dollars) of renting the truck is given by :-[tex]C=34+0.06x[/tex]Hence, the linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven : [tex]C=34+0.06x[/tex]At x= 176[tex]C=34+0.06(176)=34+10.56=44.56[/tex]Hence, the cost of renting the truck if the truck is driven 179 miles = $44.56At x= 368[tex]C=34+0.06(368)=34+22.08=56.08[/tex]Hence, the cost of renting the truck if the truck is driven 368 miles = $56.08