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.

h(x) = x + 5, work alone
h(x) = x + 5, team with Gertrude
h(x) = 9x + 35, work alone
h(x) = 9x + 35, team with Gertrude

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.

 h(x) = x + 5, work alone
 h(x) = x + 5, team with Gertrude
 h(x) = 9x + 35, work alone
 h(x) = 9x + 35, team with Gertrude

goose. · Answer

My answer choices are what confuse me the most here...

goose. · Answer

I mean, if he works 4 hours, he would want to partner with gertrude as he wouldn't make as much as her, but I don't know which answer choice represents what i need...

goose. · Answer

No one? .-.

anonymous · Answer

sorry bud

goose. · Answer

Would it be D, because it is a combination of both their incomes, and since he wouldn't be making as much as Gertrude if he worked alone, they'd work together?