Question

The amount of money, y, in a cash box after x tickets are purchased for carnival games. The slope of the line is 1/4 and the y-intercept is 8. Explain what the slope and y-intercept mean in this situation.

Answer 1

• slope: purchase price of a ticket
• y-intercept: initial cash in the cash box

Explanation:

The amount of money added to the cash box for purchasing 1 ticket is 1/4 (the slope multiplied by 1). That is, the slope is the purchase price of one ticket.

The amount of money in the cash box when 0 tickets have been purchased is the y-intercept. The y-intercept is the initial cash in the cash box.