Question

The high school dance team is learning a new routine to a song that lasts 3 minutes and 41 seconds, or 221 seconds total. Yesterday, they covered the first 45 seconds of the song at practice. They learn an average of 22 seconds of the dance in an hour. Let h represent the time, in hours, it will take the team to learn the entire dance. Which equation represents this situation, and how long will it take? A. 221 = 22h + 45; 8 hours B. 221 = 22h; 11 hours C. 221 = 22h - 45; 12 hours D. 221 = 45h + 22; 5 hours

Answer 1

The correct answer is C - 221 = 22h - 45

Answer 2

A.221=22h+45,8 hours is correct option .

Explanation:

We are given that the high school dance team is learning a new routine to a song that lasts 3 minutes or 221 seconds, total.

Total time taken by dance team in learning to a song=221 seconds

They taken time in song practice=45 seconds

They learn the average of the dance in an hour=22 seconds

Let h represents the time in hours , it will take the team to learn the entire dance.

We have to find the equation that represents this situation

According to question

The time taken by dance team of one hour=22 seconds

Therefore, the total time taken by dance team in h hours =
`22*h`

Adding 22 h to 45 and substitute the value equals to 221

`221=22 h+45`

By solving equation we are finding the value of h

`221-45=22h`

Using subtraction property of equality

`22h=176`

`h=(176)/(22)`

Using division property of equality

h=8 hours

Answer :A .221=22h+45,8 hours is correct option .