Arthur has decided to start saving for a new computer. His money is currently in a piggy bank at home, modeled by the function s(x) = 85. He was told that he could do the laundry for the house and his allowance would be a(x) = 10(x − 1), where x is measured in weeks. Explain to Arthur how he can create a function that combines the two, and describe any simplification that can be done.

Step-by-step explanation:

Let

x ----> the number of weeks

s(x) ----> the amount of money in a piggy bank at home

a(x) ---> home laundry allowance

T(x) ----> total money

we know that

The function T(x) is equal to sum the function s(x) plus the function a(x)

we have

so

substitute

Combine like terms

if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

step-by-step explanation: