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). Explain how Christina can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $103. Justify your reasoning.

The reason as to why you would multiply the two functions together, and not add, is because of the words accrues. Based on the information given, the interest amount of money, which is $103, accrues, which basically means that the money will increase in a pattern, over time. In addition, when a world problem involves a bank and money, multiplication is usually occurring.

bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-04-15T11:21:41+02:00

The total amount of money Christina will have in her bank account as interest accrues after she deposits her $103 is g(x) = (103)(1.03)^(x-1).

What is simple interest?

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function,

[tex]h(x) = 103[/tex]

She reads about a bank that has savings accounts that accrue interest according to the function,

[tex]s(x) = (1.03)^{(x-1)}[/tex]

This function means that the interest amount is 3% in value per year in which x represent the number of years.

Now the total amount of money she will have in her bank account as interest accrues will be equal to the product principal and interest rate.

Let the amount of money she will have in her bank account as interest accrues is represented by function g(x). Thus,

[tex]g(x) = (103)(1.03)^{(x-1)}[/tex]

Thus, the total amount of money Christina will have in her bank account as interest accrues after she deposits her $103 is.

[tex]g(x) = (103)(1.03)^{(x-1)}.[/tex]

Learn more about the simple interest here;

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