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Example Question #21 : Proportionalities
Suppose a runner's distance is directly proportional to her time. If the runner completes 6 miles in 70 minutes, how many minutes did it take the runner to run 4 miles?
Write the equation for direct proportionality.
Substitute the distance and time to solve for the constant.
Divide by 70 on both sides.
Substitute this value back to .
The equation becomes:
Substitute to determine how long it took the runner to run 4 miles.
Multiply by on both sides to isolate the time variable.
Simplify both sides.
The answer is:
Example Question #21 : Proportionalities
The distance of a cyclist is directly proportional to the time he has traveled. Suppose he has traveled 12 miles in 1.5 hours. How far does he travel in a half hour?
Write the equation for direct proportionality.
Substitute the distance and time given to solve for the constant of proportionality, .
Divide by 1.5 on both sides.
Write the equation.
Substitute half an hour for the time to determine the distance the biker has traveled.
The biker traveled four miles in a half hour.
The answer is:
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