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.

A) h(x) = 15x + 25, team with Maggie
B) h(x) = 3x + 5, work alone
C) h(x) = 3x + 5, team with Maggie
D) h(x) = 15x + 25, work alone

Answer 1

A) h(x) = 15x + 25, team with Maggie

Explanation:

We are been given:-

f(x) = 9x+10

g(x) = 6x+15

So, their combined effort h(x)=f(x)+g(x)

= 9x+10+6x+15

Combining the like terms together

= 9x+6x+10+15

h(x) = 15x+25

It says Braxton works for 5 hours

So, f(5) = 9*5 + 10

=> f(5) = 45 + 10

=> f(5) = 55

But,

h(5) = 15*5+25

=> h(5) = 75+25

=> h(5) = 100

Since h(5) is greater than f(5), thus we see that Braxton will make more money working by teaming with Maggie.