Question

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 income would be h(x) = f(x) + g(x). Assume Braxton works 5 hours. Create the function h(x), and indicate if Braxton will make more money working alone or by teaming with Maggie

Answer 1

Step-by-step explanation:

Braxton's income is determined by f(x) = 9x + 10.

Maggie's income is g(x) = 6x + 15.

Assume Braxton works 5 hours.

Now, calculate the Braxton's income if he work for 5 hours.

substitute x = 5 in f(x) = 9x + 10.

f(x) = 9(5) + 10

f(x) = 55

Thus, Braxton will earn $55 if he works alone.

If Braxton and Maggie were to combine their efforts, their income would be h(x) = f(x) + g(x).

Thus,

h(x) = 9x + 10 + 6x + 15

h(x) = 15x + 25

Calculate the Braxton and maggie income if they work for 5 hours.

h(x) = 15x + 25

h(x) = 15(5) + 25

h(x) = 100

Thus, they would make $100 combined.

Braxton can earn $55 if he works alone for 5 hours. So, Braxton would make less money.

But if maggie works more than 5 hours then Braxton will ear more money then just working alone.

Answer 2

Lets say that Maggie works 5 hours just the same as Braxton. if we use h(x)=f(x)+g(x) they would make about $100 combined. having to split that Braxton would make less then what he originally. since 9(5)+10= 55 and 6(5)+15=45. but if say Maggie works more then 5 hours then Braxton will be more money then just working alone.