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)` that expresses the final sale price of `x` t-shirts with the coupon applied.

Answer 1

To write a rule for the function \( p(x) \) that expresses the final sale price of \( x \) t-shirts with the coupon applied, we can break it down as follows:

1. Regular Price of Each T-shirt: The discounted price of each t-shirt during Bargain Days is $4.50.
2. Total Price for \( x \) T-shirts: The total price for purchasing \( x \) t-shirts at this price would be: \[ \text{Total Price} = 4.50 \times x \]
3. Applying the Coupon: You have a coupon that gives an additional discount of $3.00 off the total purchase. Thus, the final sale price after applying the coupon can be expressed as: \[ p(x) = (4.50 \times x) - 3.00 \]

Putting it all together, the rule for the function \( p(x) \) is:

\[ p(x) = 4.50x - 3.00 \]

This function \( p(x) \) gives the final sale price of \( x \) t-shirts after applying the coupon.