Question
Ms. Bradford is planning a dance recital for her students. The maximum duration for the recital is 73 minutes. Group dance numbers last 7 minutes and a solo performance lasts 2 minutes.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of group dances on the program
y = the number of solo numbers on the program
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of group dances on the program
y = the number of solo numbers on the program
Answers
GPT-4o mini
To describe the situation mathematically, we can set up an inequality based on the total duration of the group dances and solo performances.
Each group dance lasts 7 minutes, so the total time for group dances is \(7x\), where \(x\) is the number of group dances.
Each solo performance lasts 2 minutes, so the total time for solo performances is \(2y\), where \(y\) is the number of solo performances.
The total time for both group dances and solo performances must not exceed the maximum duration of 73 minutes. Thus, we can write the inequality as:
\[
7x + 2y \leq 73
\]
This is the inequality in standard form that describes the situation for Ms. Bradford's dance recital planning.
Each group dance lasts 7 minutes, so the total time for group dances is \(7x\), where \(x\) is the number of group dances.
Each solo performance lasts 2 minutes, so the total time for solo performances is \(2y\), where \(y\) is the number of solo performances.
The total time for both group dances and solo performances must not exceed the maximum duration of 73 minutes. Thus, we can write the inequality as:
\[
7x + 2y \leq 73
\]
This is the inequality in standard form that describes the situation for Ms. Bradford's dance recital planning.