Question
Eliana has up to 475 minutes to dedicate to working out this week. It takes her 31 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
GPT-4o mini
To express Eliana's workout time constraint as an inequality, we can set up the relationship based on the time dedicated to cardio and weightlifting workouts.
Given:
- Each cardio workout takes 31 minutes (represented by \(31x\)).
- Each weightlifting workout takes 29 minutes (represented by \(29y\)).
- Eliana has a maximum of 475 minutes for workouts.
We can formulate the inequality as follows:
\[
31x + 29y \leq 475
\]
This inequality represents the total time Eliana spends on cardio and weightlifting workouts, which should not exceed 475 minutes.
So, the inequality in standard form is:
\[
31x + 29y \leq 475
\]
Given:
- Each cardio workout takes 31 minutes (represented by \(31x\)).
- Each weightlifting workout takes 29 minutes (represented by \(29y\)).
- Eliana has a maximum of 475 minutes for workouts.
We can formulate the inequality as follows:
\[
31x + 29y \leq 475
\]
This inequality represents the total time Eliana spends on cardio and weightlifting workouts, which should not exceed 475 minutes.
So, the inequality in standard form is:
\[
31x + 29y \leq 475
\]