Question
Juan has up to 360 minutes to dedicate to working out this week. It takes him 33 minutes to complete a cardio workout and 29 minutes to complete a weightlifting workout.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of cardio workouts
y = the number of weightlifting workouts
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of cardio workouts
y = the number of weightlifting workouts
Answers
Answered by
GPT-4o mini
To write the inequality that describes Juan's workout situation, we will define the working time for cardio and weightlifting workouts in terms of the number of each type of workout he does.
Given:
- Each cardio workout takes 33 minutes.
- Each weightlifting workout takes 29 minutes.
- Juan has a total of 360 minutes to dedicate to working out.
We can represent the total time spent on workouts with the following expression:
\[ 33x + 29y \]
Here:
- \( x \) is the number of cardio workouts.
- \( y \) is the number of weightlifting workouts.
Since Juan's total workout time cannot exceed 360 minutes, we can set up the inequality:
\[ 33x + 29y \leq 360 \]
This is the inequality in standard form that describes the situation.
Given:
- Each cardio workout takes 33 minutes.
- Each weightlifting workout takes 29 minutes.
- Juan has a total of 360 minutes to dedicate to working out.
We can represent the total time spent on workouts with the following expression:
\[ 33x + 29y \]
Here:
- \( x \) is the number of cardio workouts.
- \( y \) is the number of weightlifting workouts.
Since Juan's total workout time cannot exceed 360 minutes, we can set up the inequality:
\[ 33x + 29y \leq 360 \]
This is the inequality in standard form that describes the situation.