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.

Question

Pixie Stick

Mathematics

30 October, 13:53

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.

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Mary Haley · 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