Question

Colton is making gift bags. He has 120 small prizes, and puts 3 in each gift bag. He also has 75 larger prizes,and puts 2 in each gift bag. Write the function f(x) that represents how many prizes Colton has left aftermaking x gift bags.

Answer 1

Answer: f(x) = 195 - x*5

Explanation:

Colton has 120 small prizes and 75 larger prizes.

Then at the start, he has 120 + 75 = 195 prizes.

In each bag, he puts 3 small prizes and 2 larger prizes, then in each bag there are 3 + 2 = 5 prizes.

Then if he fills x bags, he will have: x*5 fewer prizes, then we can write the equation f(x) as:

f(x) = 195 - x*5

Where when x = 0, this means that he filled zero bags, then he has the initial amount of prizes, 195.