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.
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.
C) How much would you pay during Sale Days for a CD Player regularly priced at $29.50?
A) The expression that shows the regular price r of a CD Player minus the $10 discount is: r - $10.
B) 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) To find out how much you would pay during Sale Days for a CD Player regularly priced at $29.50, substitute r = $29.50 into the expression for p(r):
p($29.50) = ($29.50 - $10) + 0.05($29.50 - $10)
p($29.50) = $19.50 + 0.05($19.50)
p($29.50) = $19.50 + $0.975
p($29.50) ≈ $20.475
Therefore, you would pay approximately $20.475 during Sale Days for a CD Player regularly priced at $29.50.