Question

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.

h(x) = 2x + 5, work alone

h(x) = 2x + 5, team with Susie

h(x) = 10x + 31, team with Susie

h(x) = 10x + 31, work alone

Answer 1

You must add your functions f(x) + g(x) to come up with the new equation.

Answer 2

@yomamabf The more the merrier

Answer 3

So your h(x) will look like this:
\[h(x) = f(x) + g(x)\]
\[h(x)=6x + 13 +4x +18\]

Answer 4

Combine like terms