Question

Colby and Danielle clean pools for extra money over the summer. Colby's income is determined by f(x) = 3x + 12, where x is the number of hours. Danielle's income is g(x) = 5x + 10. If Colby and Danielle were to combine their efforts, their income would be h(x) = f(x) + g(x). Assume Colby works 4 hours. Create the function h(x), and indicate if Colby will make more money working alone or by teaming with Danielle.

Answer 1

H(x) = 3x + 12 + 5x + 10
h(x) = 8x + 22

in 4 hrs Colby can make: 3(4)+12 = 24$
in 4 hrs Dan can make: 5(4)+10 = 30$
together they make 22+30=52$ in 4hrs
if split equally that's 52/2=26$ a piece
yes, Colby doesn't make as much money so he will benefit from teaming up with Dan.