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). Assume Frank works 4 hours. Create the function h(x) and indicate if Frank will make more money working alone or by teaming with Gertrude.

Answer 1

Find h(x)
f(x)+g(x)=5x+15+4x+20=9x+35

ok so if gertrude works 4
f(x)=5x+15
f(4)=5(4)+15
f(4)=35

if we input 4 for x in f(x) to find how much made togethe rin 4 hours
h(4)=9x+35
h(4)=9(4)+35
h(4)=36+35
h(4)=71

split evenly?
71/2=35.5

frankalone=35 for 4 hours
frankwithgertrued=35.5 for 4 hours
slightly bettewr with gerturde