Models that increase or decrease by a percentage will be exponential. Which of the following scenarios will use exponential modeling? A) A person make

snowlovelydayM

snowlovelydayM

Answered question

2021-05-17

Models that increase or decrease by a percentage will be exponential. Which of the following scenarios will use exponential modeling?
A) A person makes $50,000 per year and then has a salary increase of $6,000 for each year of experience.
B) A person makes $50,000 per year and their salary will increase by 2.5% each year.

Answer & Explanation

Luvottoq

Luvottoq

Skilled2021-05-18Added 95 answers

For A), the increase is $6,000 each year which is a constant amount. Changing by a constant amount means you are adding or subtracting the same amount each time. The model would then be linear, not exponential, since linear models have a constant rate of change, which means they increase or decrease by a constant amount.
For B), the increase is 2.5% each year, which is a constant factor. A constant factor means you are multiplying by the same amount each time. The model would then be exponential since exponential models increase or decrease by a constant factor (usually written as a percent).

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