Question bank / Ratios, rates, proportional relationships, and units

Math · Problem-Solving and Data AnalysisMedium

A car travels 3232 miles per gallon of gasoline, and gasoline costs $3.60\$3.60 per gallon. To the nearest cent, what is the cost of gasoline for this car to travel 200200 kilometers? (Use 11 mile =1.6= 1.6 kilometers.)

A

$14.06\$14.06

B

$22.50\$22.50

C

$36.00\$36.00

D

$11.25\$11.25

Show answer and explanation

Answer: A

First convert the distance: 200÷1.6=125200 \div 1.6 = 125 miles. The car uses 12532=3.90625\frac{125}{32} = 3.90625 gallons. The cost is 3.90625×3.60≈$14.063.90625 \times 3.60 \approx \$14.06.

Choice B treats 200200 kilometers as 200200 miles, skipping the unit conversion.

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