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Tommy has $350 of his graduation gift money saved at home in the amount is modeled by the function h(x)=350. He reads about a bank that has savings account that accrue interest according to the function s(x)=(1.04))^x-1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposit his $350 justify your reasoning

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Answer:

Step-by-step explanation:

His functions are:

h(x)= $350

s(x)=(1.04))^x-1

To find total amount of money in Tommy's account using the functions above, we substitute the first function x= $350 in the second function

So, we can say that the new function represents the interest received by

Tommy with initial saving $350.

Function:

A function is a group of statements that together perform a task.

Given that Tommy got $350 as the gift which he saves.

So, the amount saved is given by the function is [tex]h(x)=350....(1)[/tex]

Also, the interest by the saving bank account is given by,

[tex]s(x)=(1.04)^{x-1}....(2)[/tex]

Comparing equations (1) and (2)  we get a new function as,

[tex]g(x)=350(1.04)^{x-1}[/tex]

The function gives the value [tex]h(x)=350[/tex] when [tex]x=0[/tex] and the amount is increasing by the interest.

Learn more about the topic Function:

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