Question

Which situations can be represented by an exponential function? select each correct answer. an event organizer finds each year's attendance for the past five years is about 45 of the previous year's attendance. on the highway, kareem's car gets 38 mpg. shu fang has $25.75 deducted from her checking account every month. a toad population is increasing by about 7.5% each year?

Answer 1

An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance; and A toad population is increasing by about 7.5% each year.

Explanation:

An exponential function is one in which the amount increases or decreases by being multiplied by a fraction or decimal.

In the first situation, 4/5 of the number is found per year; this means we multiply by 4/5. This is exponential.

In the second situation, the number of miles increases by 38 per gallon of gas used. This is adding 38, so it is not exponential.

In the third situation, the amount in the checking account is decreased by subtracting $25.75 for every month that passes; this is not exponential.

In the fourth situation, the number of toads increases by 7.5%; this is done by multiplying by 1.075 each time. This is exponential.

Answer 2

A function is said to be an exponential function when the value of the function increases/decreases rapidly.

The situations that can be represented by an exponential function are:

an event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.

a toad population is increasing by about 7.5% each year