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(t)` that expresses the final sale price of `t` t-shirts with the coupon applied.
To write a rule for the function `p(t)` that expresses the final sale price of `t` t-shirts with the coupon applied, we need to break it down step by step.
First, let's consider the regular price of the t-shirts. The problem states that during Bargain Days, the regular price for t-shirts is discounted to $4.50 each. This means that each t-shirt costs $4.50 before the coupon is applied.
Next, we need to apply the coupon. The coupon provides a flat discount of $3.00 off the total purchase, regardless of how many shirts are purchased. This means that regardless of the number of t-shirts you buy, the coupon will always result in a $3.00 discount.
Now, we can calculate the final sale price of `t` t-shirts with the coupon applied.
The formula for the final sale price, `p(t)`, can be written as:
p(t) = (regular price of each t-shirt * number of t-shirts) - coupon amount
In this case, the regular price of each t-shirt is $4.50, the number of t-shirts is `t`, and the coupon amount is $3.00.
Therefore, the rule for the function `p(t)` is:
p(t) = (4.50 * t) - 3
This rule will give you the final sale price of `t` t-shirts with the coupon applied.