Answer :
To solve this problem, we need to figure out how long it will take the high school dance team to learn the entire routine, given the specific conditions outlined in the question.
Let's break down the situation step by step:
1. Total Time of the Song: The song lasts for a total of 221 seconds.
2. Time Already Covered:
- The team already covered 45 seconds of the song in practice.
3. Time Remaining to Learn:
- To find out how many seconds are left to learn, we subtract the time already covered from the total time:
[tex]\[
\text{Remaining seconds} = 221 - 45 = 176 \text{ seconds}
\][/tex]
4. Learning Rate:
- The team learns an average of 22 seconds of the dance per hour.
5. Time Required to Learn Remaining Part:
- We want to find out how many hours it will take to learn the remaining 176 seconds. We use the learning rate to calculate this:
[tex]\[
h = \frac{\text{Remaining seconds}}{\text{Learning rate}} = \frac{176}{22} = 8 \text{ hours}
\][/tex]
6. Equation Representing the Situation:
- Based on the problem, we model the situation with the equation:
[tex]\[
221 = 22h + 45
\][/tex]
This equation represents the total song duration (221 seconds) being equal to the seconds covered at practice (45 seconds) plus the amount that can be learned over 'h' hours at a rate of 22 seconds per hour.
Thus, the correct choice that represents this scenario is option A: [tex]\( 221 = 22h + 45 \)[/tex], and it will take the team 8 hours to learn the entire dance.
Let's break down the situation step by step:
1. Total Time of the Song: The song lasts for a total of 221 seconds.
2. Time Already Covered:
- The team already covered 45 seconds of the song in practice.
3. Time Remaining to Learn:
- To find out how many seconds are left to learn, we subtract the time already covered from the total time:
[tex]\[
\text{Remaining seconds} = 221 - 45 = 176 \text{ seconds}
\][/tex]
4. Learning Rate:
- The team learns an average of 22 seconds of the dance per hour.
5. Time Required to Learn Remaining Part:
- We want to find out how many hours it will take to learn the remaining 176 seconds. We use the learning rate to calculate this:
[tex]\[
h = \frac{\text{Remaining seconds}}{\text{Learning rate}} = \frac{176}{22} = 8 \text{ hours}
\][/tex]
6. Equation Representing the Situation:
- Based on the problem, we model the situation with the equation:
[tex]\[
221 = 22h + 45
\][/tex]
This equation represents the total song duration (221 seconds) being equal to the seconds covered at practice (45 seconds) plus the amount that can be learned over 'h' hours at a rate of 22 seconds per hour.
Thus, the correct choice that represents this scenario is option A: [tex]\( 221 = 22h + 45 \)[/tex], and it will take the team 8 hours to learn the entire dance.
