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26 February, 10:39

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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  1. 26 February, 10:53
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    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.
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