Respuesta :
The function is exponential growth function and the y- intercept is (0,$2000).
Given that the we put $ 2000 into a college savings account for four years and the account pays 6% interest annually.
Exponential growth or decay describes the process of reducing or growing an amount by a consistent percentage rate over a period of time and it is represented by the function y=a(1-b)ˣ where, y is the final amount, a is the original amount and b is the growth or decay factor and x is the amount of time passed.
If a is positive and b is greater than 1 then it is exponential growth.
If a is positive and b is less than 1 but greater than 0 then it exponential decay.
When we put $2000 in our college savings account and we receive 6% annual interest then this situation can be modeled by using equation f(x)=a(1+r)ˣ in which we put a=$2000, r=6%, x=4
Thus we will receive the amount after 4 years:
f(4)=2000(1+(6/100))⁴
Since equation is an exponential growth function so it is also an exponential growth function.
Now, to find the y-intercept we will put x=0.
So, y-intercept is (0,$2000).
Hence, By putting $2000 into a college savings account for four years and the account pays 6% interest annually the function is exponential growth function and the y-intercept is (0,2000).
Learn more about the exponential function from here brainly.com/question/23856879
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