Question

fluency and skills practice
lesson 16 • session 4
writing an equation for a linear function from
a verbal description continued
7 the same charity organization from problem 6 has to pay $4,700 for the banquet
hall as well as $110 per plate for each ticket sold.
a. what equation models the total amount spent as a function of the number of
tickets sold?

Explanation:

Step1: Define variables

Let \( x \) be the number of tickets sold, and \( y \) be the total amount spent.

Step2: Identify fixed and variable costs

The fixed cost (for the banquet hall) is $4700, and the variable cost is $110 per ticket (so the cost for \( x \) tickets is \( 110x \)).

Step3: Form the equation

The total amount spent \( y \) is the sum of the fixed cost and the variable cost. So the equation is \( y = 4700 + 110x \).

Answer:

The equation is \( y = 4700 + 110x \), where \( y \) is the total amount spent and \( x \) is the number of tickets sold.