Question

Frank and Gertrude mow lawns for extra money over the summer. Frank's income is determined by f(x) = 5x + 15, where x is the number of hours. Gertrude's income is g(x) = 4x + 20. If Frank and Gertrude were to combine their efforts, their income would be h(x) = f(x) + g(x). Create the new function h(x). If Frank works 4 hours and Gertrude works 4 hours, and if they each get half of the money when they work together, will Frank make more money working alone or by teaming with Gertrude?

Answer 1

H(x)=5x+15+4x+20

if x=4, together it would be 5(4)+15+4(4)+20
h(x)=20+15+16+20=71
Divided by 2, they'd each get 35.5

If Frank worked alone, he'd get 5(4)+15= 35
He'd make more working together.