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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
26 days ago

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.