Home / Assignment Help / Which of the following can be modeled with an exponential function? Select all that apply. A. Height over time that a football is thrown across the field. B. The cost to attend Universal Studios increases by 1% each year. C. An endangered species population is decreasing by 12% each year. D. The distance a bicyclist travels when cycling a constant speed of 25 mph. E. The population of a town that is growing by 5% each year.

Which of the following can be modeled with an exponential function? Select all that apply. A. Height over time that a football is thrown across the field. B. The cost to attend Universal Studios increases by 1% each year. C. An endangered species population is decreasing by 12% each year. D. The distance a bicyclist travels when cycling a constant speed of 25 mph. E. The population of a town that is growing by 5% each year.

Answer:  The answer is (B), (C) and (E).

Step-by-step explanation: We are given five options out of which we are to select all those which can be modelled by exponential functions.

We can see that the options (A) and (D) cannot be modelled by exponential functions, because the rate of increasing or decreasing are not calculating compoundly.

But, in options (B), (C) and (E), the rate is increasing or decreasing each year.So, these three can be modelled by exponential functions.

In fact, the options (B) and (E) will show exponential growth because the number is increasing and option (C) will show exponential decay as the number is decreasing.

Thus, (B), (C) and (E) are the correct options.

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