Question
Brittany has up to 453 minutes to dedicate to working out this week. It takes her 31 minutes to complete a cardio workout and 21 minutes to complete a weightlifting workout.
Select 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
Select 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 create an inequality in standard form for Brittany's workout time, we can set up the relationship based on the time it takes for each type of workout and the maximum time available.
Given:
- It takes 31 minutes for each cardio workout, represented by \( x \).
- It takes 21 minutes for each weightlifting workout, represented by \( y \).
- Brittany has a total of up to 453 minutes available for workouts.
The total time spent on workouts can be expressed as:
\[
31x + 21y \leq 453
\]
This inequality represents the constraint that the total time Brittany spends on cardio workouts and weightlifting workouts should not exceed 453 minutes.
Thus, the inequality in standard form is:
\[
31x + 21y \leq 453
\]
Given:
- It takes 31 minutes for each cardio workout, represented by \( x \).
- It takes 21 minutes for each weightlifting workout, represented by \( y \).
- Brittany has a total of up to 453 minutes available for workouts.
The total time spent on workouts can be expressed as:
\[
31x + 21y \leq 453
\]
This inequality represents the constraint that the total time Brittany spends on cardio workouts and weightlifting workouts should not exceed 453 minutes.
Thus, the inequality in standard form is:
\[
31x + 21y \leq 453
\]