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.

f(x) = 195 - x*5

Step-by-step 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.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

8 2/3 is the answer

step-by-step explanation: just use a calculator