Question

Suppose the expression a(b)n models the approximate number of people who registered for a dance program every day since the registration started, where a is the initial number of people who registered, b is the rate of increase in the number of people who registered every day, and n is the number of days since the registration started.
If the expression below models the registration for a particular dance program, what is the correct interpretation of the second factor?

Answer 1

There were 2.07 times as much people that applied in the fourth month than in the first month.

What is an exponential function?

An exponential function is one that grows or decreases in an exponential manner. Thus, for any exponential function we can write; f(x) = ax^±n. The term a is the initial value x is the rate of change while n is the time elapsed. The positive sign is used for an exponential increase while the negative sign is used for an exponential decrease.

Thus we have;

f(x) = 27(1.2)^4

This shows us that the time elapsed is four months and f(x) = 2.07.

Therefore, there were 2.07 times as much people that applied in the fourth month than in the first month.

Learn more about exponential function:brainly.com/question/11487261?

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