Word Problem

Question

The pizza that cost $18 will be shared among a group of friends. Each friend contributes the same amount of money to pay for the pizza.
A. Write a function, C(x), that can be used to calculate the total amount of money that each friend will contribute if x number of friends split the pizza.
B. As x increases, what happens to the value of C(x)?
C. What is the domain of C(x)? What is the range of C(x)? Explain. 

Someone please give me the the steps to solving this word problem, along with the answer. Thanks

Answer 1

Think of some examples. If two friends share the cost it would be 18/2, if three 18/3, and so on.

 

C(x) is the cost per friend

x is the number of friends

 

C(x) = 18/x

 

Since people cannot be fractions, the domain is all integers ≥ 1.

The most someone would pay would be 18, if only one person contributed. So the numbers in the range ≤ 18.

The cost per person is always greater than zero. The range is numbers > 0 and ≤ 18.