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21 June, 11:15

Solve. Show all your work and explain your steps.

A family rents a truck to move from Buffalo to Chicago. The rental has a base cost of $29.95, plus an additional cost of $1.50 per mile driven. The family also pays for gas, which costs $2.15 per gallon. The truck's average gas mileage is 16 miles per gallon. What is the total cost of the move? (Hint: Use the map to estimate the driving distance.

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  1. 21 June, 11:30
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    The problem does not clearly give us the distance from Buffalo to Chicago, so let this be x (in mile) just so I can show you how the total cost is solved.

    The total cost is equal to the sum of the rental fee plus the cost of the additional fee per mile which is equal to 1.50x, and also of the cost of the gasoline which is equal to (x/16) (2.15). Thus, the final answer should be expressed as,

    total cost = 29.95 + 1.5x + 2.15x/16

    When the distance is available, this should be easily substituted in the equation above.
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