A company orders 29 boxed lunches from a deli for $339.30. Assume each boxed lunch is the same price. If c represents the total cost in dollars and cents of the lunch order for any number, b, of boxed lunches ordered, write a proportional equation for c in terms of b that matches the context.

Question

A company orders 29 boxed lunches from a deli for $339.30. Assume each boxed lunch is the same price. If c represents the total cost in dollars and cents of the lunch order for any number, b, of boxed lunches ordered, write a proportional equation for c in terms of b that matches the context.

Answer 1

Let the cost of one boxed lunch be x dollars and cents. We are given that the total cost of 29 boxed lunches is $339.30. We can write this as:

29x = 339.30

Now, let's write a proportional equation for c in terms of b, which represents the total cost of b boxed lunches:

bx = c

So, the proportional equation for c in terms of b that matches the context is:

29x = c