Bob and susie wash cars for extra money over the summer. bob's income is determined by f(x) = 6x + 13, where x is the number of hours. susie's income is g(x) = 4x + 18. if bob and susie were to combine their efforts, their income would be h(x) = f(x) + g(x). assume bob works 3 hours. create the function h(x), and indicate if bob will make more money working alone or by teaming with susie.

The function   and Bob will make more money by working alone.

Step-by-step explanation:

Bob's income is determined by

Susie's income is

Bob and Susie were to combine their efforts, their income would be h(x) = f(x) + g(x).

So,

Their combined income is determines by

If Bob works for 3 hours alone

So, Bob's income :

If bob works 3 hours in a team

So, Income :

Since together their income for 3 hours is $61

So, This amount will be divided in two parts

So, Each will earn amount =

So, Bob will earn $30.5 working in a team and $31  working alone

So, Bob will make more money by working alone.

Hence the function   and Bob will make more money by working alone.

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i