A.4.16.3 Custom Mugs

A science club would like to get some custom mugs with the club's log on them. The number of mugs the club can buy depends on the amount of money available for the mugs and the cost for each mug. One online company offers a great discount for each mug ordered.

• The regular price for one mug is $10.80.
• The discount is $4.40 off for each mug.
• The club has a budget of $120 for the mugs.
• There are no other fees or charges.

1. How many mugs can the club afford? 2. Write an equation that gives the number of mugs that the club can buy, n, as a function of the regular price, p.

Another option for ordering mugs at a discounted price is:

• The discount is $4.40 off for each mug.
• The club is able to order 24 mugs if they choose this second company.
• The club has a budget of $120 for the mugs.
• There are no other fees or charges.

3. What is the regular price per mug at this company? 4. Write an equation that gives the regular price of a mug, p, if the club can afford n mugs with the same budget.