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

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

b) f(4) = 5*4 +15 = 35
.. h(4) = 9*4 +35 = 71
If Frank gets half their combined pay for working the same time period, he makes more money by splitting with Gertrude (who loses money in the deal).


Frank breaks even in the team by working 5 hours. When he works more time than that, he's better off by himself. (The reverse is true for Gertrude.)

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.