To determine the final sale price \( p(x) \) of \( x \) t-shirts with the discount applied, we can follow these steps:
-
Determine the regular total price before the coupon: Each t-shirt costs $4.50, so for \( x \) t-shirts, the total price will be: \[ \text{Total price} = 4.50 \times x \]
-
Apply the coupon: You have an additional discount of $3.00 on the total purchase. Therefore, the total cost after applying the coupon will be: \[ \text{Final price} = (4.50 \times x) - 3.00 \]
Putting it all together, the rule for the function \( p(x) \) that expresses the final sale price for \( x \) t-shirts is: \[ p(x) = 4.50x - 3.00 \]
Where \( x \) is the number of t-shirts purchased.
Thus, for specific numbers of t-shirts:
-
If \( x = 1 \): \[ p(1) = 4.50 \times 1 - 3.00 = 1.50 \]
-
If \( x = 2 \): \[ p(2) = 4.50 \times 2 - 3.00 = 6.00 - 3.00 = 3.00 \]
-
If \( x = 3 \): \[ p(3) = 4.50 \times 3 - 3.00 = 13.50 - 3.00 = 10.50 \]
-
If \( x = t \) (where \( t \) is any number of t-shirts): \[ p(t) = 4.50t - 3.00 \]
This function \( p(x) \) gives the final price for any number of t-shirts bought during the sale.
1 answer