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Zorluk: KolayAlgebraic Word Problems and Modeling

A car rental agency charges a flat daily rate of 45plus45 plus 0.20 per mile driven. If a customer rented a car for one day and the total rental cost before taxes was $75, how many miles did the customer drive?

  1. 150Cevap
  2. B
    225
  3. C
    375
  4. D
    600
  5. E
    60

Cevap

150 miles
Subtracting the 45fixedfeefromthetotalchargeof45 fixed fee from the total charge of 75 leaves 30attributabletomileage.Dividing30 attributable to mileage. Dividing 30 by the variable rate of $0.20 per mile gives 150 miles.

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1
Set up the linear equation representing total cost
45+0.20m=7545 + 0.20m = 75, where mm represents the number of miles driven.
The total cost consists of a fixed fee plus the variable per-mile charge.
2
Isolate the variable term by subtracting the fixed fee from both sides
0.20m=75−45  ⟹  0.20m=300.20m = 75 - 45 \implies 0.20m = 30
This determines the portion of the total cost accrued strictly from mileage.
3
Solve for mm by dividing by the per-mile rate
m=300.20=150m = \frac{30}{0.20} = 150
Dividing total mileage cost by the cost per mile gives the total miles driven.

Anahtar Kavram

Linear Modeling and Single-Variable Equations
Tahmini Süre:45s
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Algebraic Word Problems and Modeling

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