Question
Sarah is hiking. She starts at 80 feet and hikes up at a constant rate of 4 feet per minute. How many minutes could she be hiking if she is above 270 feet in elevation?
Write an inequality to represent the situation. Use x to represent the number of minutes.
Write an inequality to represent the situation. Use x to represent the number of minutes.
Answers
GPT-4o mini
To represent the situation with an inequality, we need to establish Sarah's elevation as a function of time (in minutes).
Sarah starts at an elevation of 80 feet and hikes up at a rate of 4 feet per minute. Therefore, her elevation after \( x \) minutes can be expressed as:
\[
\text{Elevation} = 80 + 4x
\]
We want to find out when her elevation is above 270 feet, which can be represented by the inequality:
\[
80 + 4x > 270
\]
This inequality represents the number of minutes \( x \) she can hike while being above 270 feet in elevation.
Sarah starts at an elevation of 80 feet and hikes up at a rate of 4 feet per minute. Therefore, her elevation after \( x \) minutes can be expressed as:
\[
\text{Elevation} = 80 + 4x
\]
We want to find out when her elevation is above 270 feet, which can be represented by the inequality:
\[
80 + 4x > 270
\]
This inequality represents the number of minutes \( x \) she can hike while being above 270 feet in elevation.