Question

Braxton and Maggie babysit children for extra money over the summer. Braxton's income is determined by f(x) = 9x + 10, where x is the number of hours. Maggie's income is g(x) = 6x + 15. If Braxton and Maggie were to combine their efforts, their combined income would be h(x) = f(x) + g(x). Create the new function h(x). If Braxton works 5 hours and Maggie works 5 hours, and if they each get half of the money when they work together, will Braxton make more money working alone or by teaming with Maggie?

Answer 1

f(x)+g(x)

(f(x)+g(x))=9x+10+6x+15

(f(x)+g(x))=15x+25

So when they work together and split the money each person will earn.

$=(15x+25)/2 so when x=5hrs

$=(15(5)+25)/2=$50.00

And if Braxton words alone for those five hours he will earn:

B(5)=9(5)+10=$55.00

So Braxton earns more while working alone than as a team with Maggie.