Braxton and Maggie babysit children for extra money over the summer. Braxton's income is determined by f (x) = 9x + 10, where x is the number of hours. Maggie's income is g (x) = 6x + 15. If Braxton and Maggie were to combine their efforts, their combined income would be h (x) = f (x) + g (x). Create the new function h (x). If Braxton works 5 hours and Maggie works 5 hours, and if they each get half of the money when they work together, will Braxton make more money working alone or by teaming with Maggie?

Question

Mathematics

Carlo Osborn

23 June, 09:35

Braxton and Maggie babysit children for extra money over the summer. Braxton's income is determined by f (x) = 9x + 10, where x is the number of hours. Maggie's income is g (x) = 6x + 15. If Braxton and Maggie were to combine their efforts, their combined income would be h (x) = f (x) + g (x). Create the new function h (x). If Braxton works 5 hours and Maggie works 5 hours, and if they each get half of the money when they work together, will Braxton make more money working alone or by teaming with Maggie?

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Answers (1)

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Reuben Terrell · Answer 1

F (x) + g (x)

(f (x) + g (x)) = 9x+10+6x+15

(f (x) + g (x)) = 15x+25

So when they work together and split the money each person will earn.

$ = (15x+25) / 2 so when x=5hrs

$ = (15 (5) + 25) / 2=$50.00

And if Braxton words alone for those five hours he will earn:

B (5) = 9 (5) + 10=$55.00

So Braxton earns more while working alone than as a team with Maggie.