Question
Hayley is going to be participating in a long bike race soon. She needs to ride a total of at least 164 kilometers today. She plans to do this by riding multiple laps on the Highland Loop, which is 20 kilometers long, and the Pinehurst Loop, which is 39 kilometers long.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of laps on the Highland Loop
y = the number of laps on the Pinehurst Loop
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of laps on the Highland Loop
y = the number of laps on the Pinehurst Loop
Answers
GPT-4o mini
To set up the inequality that describes Hayley's biking situation, we need to express the total distance she plans to ride in terms of the laps on each loop.
- Each lap on the Highland Loop is 20 kilometers, so if Hayley rides \( x \) laps, the distance for the Highland Loop is \( 20x \) kilometers.
- Each lap on the Pinehurst Loop is 39 kilometers, so if Hayley rides \( y \) laps, the distance for the Pinehurst Loop is \( 39y \) kilometers.
Hayley needs to ride a total of at least 164 kilometers, which leads to the following inequality:
\[
20x + 39y \geq 164
\]
This is the inequality in standard form that represents Hayley's biking plan.
- Each lap on the Highland Loop is 20 kilometers, so if Hayley rides \( x \) laps, the distance for the Highland Loop is \( 20x \) kilometers.
- Each lap on the Pinehurst Loop is 39 kilometers, so if Hayley rides \( y \) laps, the distance for the Pinehurst Loop is \( 39y \) kilometers.
Hayley needs to ride a total of at least 164 kilometers, which leads to the following inequality:
\[
20x + 39y \geq 164
\]
This is the inequality in standard form that represents Hayley's biking plan.