Question

During a clothing store's Bargain Days, the regular price for t-shirts is discounted to $4.50 each. You have an additional coupon for $3.00 off the total purchase, regardless of how many shirts are purchased. Write a rule for the function "p" ( "x" )p(x) that expresses the final sale price of "x"x t-shirts with the coupon applied.

Answer 1

p(x) = max(4.50x − 3.00, 0), where x is the number of t‑shirts (nonnegative integer) and p(x) is in dollars.

(If at least one shirt is bought, you can write simply p(x) = 4.50x − 3.00, provided this value is ≥ 0.)