Question

1. Cindy is doing a 30-day jumping jack challenge. On the first day she does 5 jumping jacks. On the second

day, she does 10 jumping jacks. On the third day, she does 15 jumping jacks. This pattern continues.

a. Let j(n) represent the number of jumping jacks Cindy does on the nth day of the challenge. Is j(n)
a linear function, a quadratic function, or neither? Explain.
Timear because w goes up by 5 each day.

b. Let t(n) represent the total number of jumping jacks Cindy has done by the nth day of the
challenge. Is t(n) a linear function, a quadratic function, or neither? Explain.

Answer 1

a) linear function

b) quadratic function

Explanation:

a) j(n) is a linear function since 5 is added everyday.

b) t(n) would be a quadratic function because the total amount of jumping jacks wouldn't have the same number that is beiung added.

day 1 = 5

day 2 = 15

day 3 = 30

day 4 = 50

day 5 = 75

This is showing that at first 10 jumping jacks are added but then for day 2 15 are added, for day 3 20 are added and so on.