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Solving a Direct Variation Application: Distance Traveled by a Train
Apply the problem-solving strategy for direct variation to calculate the distance traveled. If the distance a train travels, , varies directly with the time it moves, , the relationship is written as . Given that the train travels miles in hours, substitute these values to determine the constant of variation: , so . The equation relating distance and time is . To find the distance traveled in hours, substitute : , which simplifies to . The train would travel miles in hours.
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Intermediate Algebra @ OpenStax
Ch.7 Rational Expressions and Functions - Intermediate Algebra @ OpenStax
Algebra
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