Question

Dwight has decided to start saving for a cruise over the summer. His money is currently in the local bank, modeled by the function s(x) = 161. He is able to do work around the house to earn extra money and that function would be a(x) = 10(x + 2), where x is measured in hours. Explain to Dwight how he can create a function that combines the two, and describe any simplification that can be done.

Answer 1

Answer: To create a function that combines the two, Dwight needs to add his earnings from doing work around the house to his current savings. His total savings after x hours of work can be represented by the function S(x) = s(x) + a(x).

Substituting the given functions, we get:

S(x) = 161 + 10(x + 2)

Simplifying the expression, we get:

S(x) = 10x + 201

This function represents the total savings of Dwight after x hours of work. The function can be used to calculate the total amount of money that Dwight would have saved after working for a certain number of hours.

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