Question

One day you decide to get stronger by doing pushups. You start by doing 5 pushups on the first day. Then you increase it to 10 on the second day. Then 15 on the next day, and you continue this pattern for a week. Write an equation that relates the number of pushups y to the number of days x during the week.(1 point) Responses x+y=5 x plus y equals 5 x=5y x equals 5 y y=5x y equals 5 x x−y=5

Answer 1

To formulate the relationship between the number of pushups \( y \) and the number of days \( x \) during the week, we observe that you start with 5 pushups and increase the number by 5 each day.

1. On Day 1 (x = 1), y = 5
2. On Day 2 (x = 2), y = 10
3. On Day 3 (x = 3), y = 15
4. On Day 4 (x = 4), y = 20
5. On Day 5 (x = 5), y = 25
6. On Day 6 (x = 6), y = 30
7. On Day 7 (x = 7), y = 35

From this pattern, we can see that the number of pushups increases linearly, specifically:

\[ y = 5x \]

This means that the correct response relating the number of pushups \( y \) to the number of days \( x \) is:

\[ y = 5x \]