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Evaluation
A family rents a truck to move from Buffalo to
Chicago. The rental has a base cost of $49.95,
plus, an additional
cost of $1.19 per mile driven.
The family also pays for gas,
which costs $3.89 per gallon.
The truck’s average gas mileage
is 18 miles per gallon.
The family decided to take a rest in Cleveland, what would be the distance travelled from Buffalo to Cleveland if the total cost of the move is $724.85?

Evaluation A Family Rents A Truck To Move From Buffalo To Chicago The Rental Has A Base Cost Of 4995 Plus An Additional Cost Of 119 Per Mile Driven The Family A class=

Answer :

The distance travelled from Buffalo to Cleveland if the total cost of the move is $724.85 is  479.97

How  to solve for the distance traveled

The base cost of the rental is said to be 49.95 dollars + 1.19 per mile

The cost of the gas is $3.89. The mileage of the truck is 18 miles

There would be an extra cost of

$3.89/18 per mile.

= 0.216111

In x miles we would have the equation that is written as:

C(x) = 49.95 + (1.19 + 0.21611)x

C(X) = $724.85 this is the total cost. Hence we would have

$724.85 =  49.95 + 1.19x + 0.21611x

$724.85 -   49.95 = 1.40611x

674.9 = 1.40611x

divide through by 1.40611

674.9 / 1.40611 = x

x = 479.97

The distance traveled is  479.97

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