Question

Pam is making goody bags for her little brother's birthday party. She has 100 small toys and puts 4 in each bag. She also has 48 large toys and puts 2 in each bag.
Which function describes the total number of toys Pam has left after making x goody bags?

Answer 1

Let f(x) be the total number of toys Pam has left after making x goody bags.

Each goody bag contains 4 small toys and 2 large toys, so each goody bag contains a total of 4 + 2 = 6 toys.

After making x goody bags, Pam will have used up a total of 6x toys.

Therefore, the total number of toys Pam has left after making x goody bags can be represented by the function:

f(x) = 100 - 4x + 48 - 2x

Simplified, this becomes:

f(x) = 148 - 6x