Answer :
To solve the problem, let's break it down:
1. Total Duration of the Song:
The song lasts 221 seconds.
2. Duration Already Covered:
The dance team has already learned the first 45 seconds of the song.
3. Time Remaining to Be Learned:
To find out how much more they need to learn, subtract the seconds they have already covered:
[tex]\[
\text{Remaining seconds to learn} = 221 - 45 = 176 \text{ seconds}
\][/tex]
4. Learning Rate:
The team learns an average of 22 seconds of the dance per hour.
5. Determine the Time Needed (in hours):
To find how long it will take to learn the remaining 176 seconds, divide the remaining seconds by the rate at which the team learns:
[tex]\[
h = \frac{176}{22} = 8 \text{ hours}
\][/tex]
6. Equation Representation:
To put this into an equation form, the scenario is that they need to learn a total of 221 seconds, with 45 learned, and at a rate of 22 seconds per hour. So, the equation can be set up as:
[tex]\[
221 = 22h + 45
\][/tex]
Solving for [tex]\( h \)[/tex] should give us the value of 8 hours, which aligns with our calculation.
From the options provided, the correct choice is:
- D. [tex]\( 221 = 22h + 45; 8 \)[/tex] hours.
Therefore, it will take the dance team 8 hours to learn the entire dance routine.
1. Total Duration of the Song:
The song lasts 221 seconds.
2. Duration Already Covered:
The dance team has already learned the first 45 seconds of the song.
3. Time Remaining to Be Learned:
To find out how much more they need to learn, subtract the seconds they have already covered:
[tex]\[
\text{Remaining seconds to learn} = 221 - 45 = 176 \text{ seconds}
\][/tex]
4. Learning Rate:
The team learns an average of 22 seconds of the dance per hour.
5. Determine the Time Needed (in hours):
To find how long it will take to learn the remaining 176 seconds, divide the remaining seconds by the rate at which the team learns:
[tex]\[
h = \frac{176}{22} = 8 \text{ hours}
\][/tex]
6. Equation Representation:
To put this into an equation form, the scenario is that they need to learn a total of 221 seconds, with 45 learned, and at a rate of 22 seconds per hour. So, the equation can be set up as:
[tex]\[
221 = 22h + 45
\][/tex]
Solving for [tex]\( h \)[/tex] should give us the value of 8 hours, which aligns with our calculation.
From the options provided, the correct choice is:
- D. [tex]\( 221 = 22h + 45; 8 \)[/tex] hours.
Therefore, it will take the dance team 8 hours to learn the entire dance routine.
