Question

Question 15

Answer 1

Answer:

A) The expression that shows the regular price minus the discount is r - 6

B) The function is p(r) = 1.05r - 6.3

C) You would pay $14.7 during Bargain Days

Step-by-step explanation:

∵ The regular price is r

∵ The discount on it is 6%

∴ The price after the discount = r - 6

A) The expression that shows the regular price minus the discount is

     r - 6

∵ The state sales tax is 5% applied after the discount

∴ The sales tax = 5%(r - 6)

→ Change 5% to decimal y dividing it by 100

∵ 5% = $\frac{5}{100}$ = 0.05

∴ The sales tax = 0.05(r - 6) = 0.05(r) - 0.05(6)

∴ The sales tax = 0.05r - 0.3

∵ p is the price of the T-shirt with discount and sales tax

→ Add the sales tax to the regular price minus the discount

∴ p(r) = r - 6 + 0.05r - 0.3

→ Add the like terms

∴ p(r) = (r + 0.05r) + (-6 - 0.3)

∴ p(r) = 1.05r + (-6.3)

∴ p(r) = 1.05r - 6.3

B) The function is p(r) = 1.05r - 6.3

∵ The regular price of a shirt is $20

→ Substitute r by 20 in the function above to find how much you would

   pay during the Bargain Days

∴ p(20) = 1.05(20) - 6.3

∴ p(20) = 21 - 6.3

∴ p(20) = $14.7

C) You would pay $14.7 during Bargain Days