Problem 2 An online retailer advertises the following shipping and handling fees for every order:

Order Amount ($)

0 – 49.99

50 – 75.99

76+

Shipping and Handling ($)

3.95

11.95

5.95

The sales tax in Arizona on online orders is 5.6%. Use this information to answer the following questions.

**Assume that the shipping and handling is added after the sales tax is applied to the order.

Part a)

Using the information above, write an equation that represents the total cost as a function of the order amount in a customer’s “cart”. (Remember: Identify your input and output variables, and use proper notation – I recommend you handwrite your function and add a picture in to this document)

Part b)

Genevieve, who lives in Prescott, has a cart total of $74.50. How much will her total cost be? (Remember: Show all your work for full credit)

Part c)

Rafael, who lives in Tucson, paid $89.20 for his items. How much was his cart total? (Remember: Show all work, and make sure you get all of the answers)