Question

During a clothing store's Bargin Days, the regular price for T-shirts is discounted to $8.25. You have an additional coupon for $5.00 off, regardless of how many shirts are purchased.

a. Write a rule for the function p(t) that expresses the final price of t T-shirts with the discount applied.


b. How much would you pay during Bargain Days for 11 shirts?

Answer 1

`p(t) = 8.25t - 5`

b) The cost of 11 T-shirts during bargain days is $85.75

Explanation:

We are given the following information in the question:

Discounted cost of one T-shirt = $8.25

Additional off on coupon = $5.00

Let t be the number of T-shirts bought during the bargain days.

a) Then, the price of t T-shirts with the discount applied will be given by the function:

`p(t) = \text{Number of T-shirts}* \text{Discounted price for 1 T-shirt} - \text{Coupon Off}\\p(t) = 8.25t - 5`

b) Price during Bargain Days for 11 shirts

We put t = 11 in the above function:

`p(t) = 8.25t - 5\\p(11) = 8.25(11) - 5 = 85.75`

Thus, the cost of 11 T-shirts during bargain days is $85.75