Colby and danielle clean pools for extra money over the summer. colby's income is determined by f(x) = 3x + 12, where x is the number of hours. danielle's income is g(x) = 5x + 10. if colby and danielle were to combine their efforts, their income would be h(x) = f(x) + g(x). create the new function h(x). if colby works 4 hours and danielle works 4 hours, and if they each get half of the money when they work together, will colby make more money working alone or by teaming with danielle?

Colby makes more money by teaming with Danielle

Step-by-step explanation:

Colby's income =f(x) = 3x+12

and Danielle's income = g(x) = 5x+10

If they combine their efforts the combined income would be

h(x) = 3x+12+5x+10 = 8x +22

If shared equally between them

Colby would get 1/2(8x+22) = 4x+11  and

Danielle would get  1/2(8x+22) = 4x+11

Since given they worked each for 4 hours

Colby income = Danielle income= 4(4) +11 = 27

If not combined, then

Colby income 3(4) + 12=24 and

Danielle income= 5(4) +10 = 30

Because of combining Colby makes more money by teaming with Danielle.

The difference is 3 for 4 hours work.

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