16. During an electronic store’s Sale Days, the regular price for CD Players is discounted $10. There is a state sales tax of 5%, and the $10 discount is applied before the sales tax is calculated.

Question

a) Write an expression that shows the regular price r of a CD Player minus the $10 discount.

Answer 1

The expression that shows the regular price r of a CD Player minus the $10 discount is:

r - 10

Answer 2

b) Write a rule for the function p(r) that expresses the final price p of a CD Player with the discount applied and sales tax included

Answer 3

The rule for the function p(r) that expresses the final price p of a CD Player with the discount applied and sales tax included is:

p(r) = r - 10 + 0.05(r - 10)

Answer 4

c) How much would you pay during Sale Days for a CD Player regularly priced at $29.50?

Answer 5

To find out how much you would pay during Sale Days for a CD Player regularly priced at $29.50, we can substitute r = 29.50 into the expression from part (b):

p(29.50) = 29.50 - 10 + 0.05(29.50 - 10)

p(29.50) = 29.50 - 10 + 0.05(19.50)

p(29.50) = 19.50 + 0.975

p(29.50) = 20.475

Therefore, during Sale Days, you would pay $20.475 for a CD Player regularly priced at $29.50.