Question

Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function h(x) = 103. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.03)x − 1. After combining the two functions, the new function is g(x) = 103(1.03)x − 1. Using complete sentences, explain what this new function means.

Answer 1

s(x)=1.03x−1

then you should use parens around the (x-1)

It means that her deposit is getting 3% larger each period set by the bank (i.e. month, year...).

Answer 2

Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function h(x) = 103.

The bank accrues interest according to the function s(x) = (1.03)^x − 1.

After combining the two functions, the new function is g(x) = 103(1.03)^x − 1. (correct form)

This equation shows that if Christina invests $103, then the amount of money she would have after (x) years. $103 will have an increase of 3% in value per year(assuming x represents years).