During a clothing store’s Bargain 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. %0D%0A%0D%0AWrite a rule for the function that expresses the final price of t T-shirts with the discount applied.%0D%0AHow much would you pay during Bargain Days for 11 shirts?

1 answer

To express the function for the final price of \( t \) T-shirts with the discount applied, you would:

1. Multiply the number of T-shirts, \( t \), by the discounted price per T-shirt, which is $8.25.
2. Subtract the coupon value of $5.00 from the total price.

So, the function \( f(t) \) (representing the final price after discounts and coupon applied) as a function of \( t \) (the number of T-shirts) is:

\[ f(t) = 8.25 \cdot t - 5.00 \]

Now, to find out how much you would pay during Bargain Days for 11 shirts, plug in \( t = 11 \):

\[ f(11) = 8.25 \cdot 11 - 5.00 \]

Calculating the cost for 11 shirts:

\[ f(11) = 8.25 \cdot 11 - 5.00 \]
\[ f(11) = 90.75 - 5.00 \]
\[ f(11) = 85.75 \]

Therefore, you would pay $85.75 during Bargain Days for 11 T-shirts.