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Write a direct variation equation to find the number of miles a jet travels in 3 hours if it is flying at a rate of 600 mph.Question
Write a direct variation equation to find the number of miles a jet travels in three hours if it’s flying at a rate of 60 mph
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GPT-4o mini
In direct variation, the relationship between two variables can be expressed as \( y = kx \), where \( k \) is the constant of variation.
In this case, let \( y \) represent the number of miles the jet travels, and \( x \) represent the time in hours. The rate of the jet is given as 60 miles per hour (mph), so the equation that relates the distance traveled to the time is:
\[
y = 60x
\]
To find the number of miles the jet travels in three hours, you can substitute \( x = 3 \) into the equation:
\[
y = 60(3) = 180
\]
Therefore, the jet travels 180 miles in three hours.
In this case, let \( y \) represent the number of miles the jet travels, and \( x \) represent the time in hours. The rate of the jet is given as 60 miles per hour (mph), so the equation that relates the distance traveled to the time is:
\[
y = 60x
\]
To find the number of miles the jet travels in three hours, you can substitute \( x = 3 \) into the equation:
\[
y = 60(3) = 180
\]
Therefore, the jet travels 180 miles in three hours.
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