tessa plays her favorite song several times. it takes 16 minutes to play it 4 times.\na. complete the table…
tessa plays her favorite song several times. it takes 16 minutes to play it 4 times.\na. complete the table to find how many minutes it takes tessa to play the song different numbers of times.\nb. describe the relationship between the number of minutes tessa spends playing the song and the number of times she plays it.\nc. once tessa knows how many times she wants to play the song, how can she find how long it will take her?\nd. write an equation to show the number of minutes, m, tessa spends playing the song t times.
Answer
Explanation:
Step1: Find the time per play
Since it takes 16 minutes to play 4 times, the time per play is (16\div4 = 4) minutes.
Step2: Complete the table
- For 1 play: (1\times4=4) minutes.
- For 8 minutes: (8\div4 = 2) plays.
- For 3 plays: (3\times4=12) minutes.
Step3: Describe the relationship
The number of minutes is directly proportional to the number of plays. As the number of plays increases, the number of minutes increases at a constant rate (4 minutes per play).
Step4: Find the method
Multiply the number of times she wants to play ((t)) by 4 (the time per play).
Step5: Write the equation
If (m) is the number of minutes and (t) is the number of times, then (m = 4t).
Answer:
a. The completed table:
| Number of Plays | Minutes |
|---|---|
| 0 | 0 |
| 1 | 4 |
| 2 | 8 |
| 3 | 12 |
| 4 | 16 |
b. The number of minutes is directly proportional to the number of plays with a constant rate of 4 minutes per play.
c. Multiply the number of times she wants to play by 4.
d. (m = 4t)