Camila does 1 jumping jack on the first day of the month, 2 on the second day of the month, 4 on the third day of the month and so on until the end of the month. Is this situation modeled with a linear or exponential model?

Question

Mathematics

Elliot Dorsey

22 June, 04:39

Camila does 1 jumping jack on the first day of the month, 2 on the second day of the month, 4 on the third day of the month and so on until the end of the month. Is this situation modeled with a linear or exponential model?

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Answers (2)

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Kaleigh Roberson · Answer 1

It is an Exponential Model.

Here's Why:

The ratio from the First day to the Second day is 2.0. The Ratio from the Second Day to the Third Day is 2.0. Because it's 2.0, we can concur that the Fourth Day will be 8 jumping jacks. Because the Difference from Day 1 to Day 2 (which is 1 Jumping Jack) and Day 2 and Day 3 (which is 2 Jumping Jacks) are not the same, it couldn't be linear.

Cason Casey · Answer 2

Answer: it is an exponential model.

Step-by-step explanation:

The number if jumping jacks that Camila did on the first day of the month is one. on the second day of the month, she does two, it means that on the second day of the month, she doubled that of the first day. She did 4 on the third day of the month which is double that of the second day.

If this continues till the end of the month, it means that the amount done for each day would always be double that of the previous day. Therefore, the common ratio is 2 and so, it is an exponential model.