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.
a) Write an expression that shows the regular price r of a CD Player minus the $10 discount.
The expression that shows the regular price r of a CD Player minus the $10 discount is:
r - 10
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
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)
c) How much would you pay during Sale Days for a CD Player regularly priced at $29.50?
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.