Find the exponential function that satisfies the given conditions: initial value = 33, increasing at a rate of 7% per year (2 points)

Step-by-step explanation:

Let f(x) be our exponential growth function representing growth after x years.

We are asked to find the exponential function that satisfies the given conditions: Initial value = 33, increasing at a rate of 7% per year.

Since an exponential growth function is in form: , where a= initial value of function and r = growth rate in decimal form.

Given:

a=33  

r=7%.

Let us convert our given rate in decimal form.

Now let us substitute our given values in exponential function form:

Therefore, the exponential function that satisfies our given conditions will be .