Question

a company orders 23 boxed lunches from a deli for $201.25. 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.

Explanation:

Step1: Find unit price

To find the cost per boxed lunch, divide total cost by number of lunches. So, unit price $p = \frac{201.25}{23}$.
Calculating, $\frac{201.25}{23} = 8.75$.

Step2: Write proportional equation

In a proportional relationship, $c = p \times b$, where $p$ is the unit price. Substituting $p = 8.75$, we get $c = 8.75b$.

Answer:

$c = 8.75b$