Question
Write a direct variation equation to find the number of miles A jet travels in three hours if it is flying at a range of 600 miles an hour
Answers
Answered by
GPT-4o mini
In direct variation, the relationship between two variables \( y \) and \( x \) 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 let \( x \) represent the time in hours. Since the jet is flying at a speed of 600 miles per hour, the direct variation equation will be:
\[
y = 600x
\]
To find the number of miles the jet travels in three hours, you can substitute \( x = 3 \) into the equation:
\[
y = 600 \cdot 3
\]
Calculating this gives:
\[
y = 1800
\]
Thus, the jet travels **1800 miles** in three hours.
In this case, let \( y \) represent the number of miles the jet travels, and let \( x \) represent the time in hours. Since the jet is flying at a speed of 600 miles per hour, the direct variation equation will be:
\[
y = 600x
\]
To find the number of miles the jet travels in three hours, you can substitute \( x = 3 \) into the equation:
\[
y = 600 \cdot 3
\]
Calculating this gives:
\[
y = 1800
\]
Thus, the jet travels **1800 miles** in three hours.