Question

The function b(x) = 2x − 5 determines how many bags of dog food need to be purchased for an animal shelter, where x is the number of dogs at the shelter. The shelter manager uses m(b(x)) to find the amount of money to bring for the dog food purchase. The function m(x) = 3x + 1. Solve for how much money to bring when there are 10 dogs in the shelter.

Can someone talk me through this function??

Answer 1

Well we know x is the number of dogs, so simply we just replace x on both sides with the number of dogs there are. In this case there are 10, so the function is now: 10m = 2(10) - 5

Answer 2

Now we just simplify.

10m = 2(10) - 5

10m = 20 - 5

10m = 15

m = 15/10

m = 1.5

Answer 3

so could the answer be 15?

Answer 4

Now: m(b(x))

Answer 5

1.5(b(10))

1.5(10b)

Answer 6

Well we now need b os we have to solve b(x) = 2x − 5

Answer 7

Exact same thing as m(x) = 2x − 5 so b = 1.5

Answer 8

1.5^2 • 10

2.25 • 10

22.5

Answer 9

22.5 is the answer.

Answer 10

That isnt an answer choice

Answer 11

What are the choices

Answer 12

15 31 46 52

Answer 13

Hmm

Answer 14

I'm not sure what I did wrong, but the closest would be 15

Answer 15

Try 15, but I may have done it wrong then.