Question

Damon's father pays him one dollar to start the work and

doubles his pay for each hour of work. Write a function that

models this situation.

Answer 1

Answer: p(x) = $1*(2)^x

Explanation:

First, the father pays him $1 for only starting the work, and for each hour, the payment is doubled.

So after the first hour, the payment wil be 2*$1 = $2.

After the second hour, the payment will be 2*(2*$1) = $1*(2)^2

After another hour, the payment will be 2*($1*(2)^2) = $1*(2)^3

We already can see the pattern here, after x hours, the payment will be:

p(x) = $1*(2)^x

This is the function that models this situation.