18. 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
a. Write a rule for the function p(t) that expresses the final price of t T-shirts with the
discount applied
P(T)= (T - 8.25) *1.05
b. How much would you pay during Bargain days for 11 shirts?
Wouldn't I multiply 8.25 by 11 and then subtract it by 1.05?
8.25 per shirt. So, t shirts cost 8.25t
Now apply your $5 coupon, and
P(t) = 8.25t - 5.00
Thank oobleck and Help! I was confused at first and then I got what you were saying. :) Thank you both for helping!
No, the correct calculation for the final price of 11 shirts during Bargain Days can be found by using the rule stated in part a.
To find the final price, you need to substitute the value of "t" (which represents the number of shirts) with 11 in the rule.
So, the correct calculation is:
P(11) = (11 - 8.25) * 1.05
P(11) = (2.75) * 1.05
P(11) = 2.8875
Therefore, you would pay $2.8875 (or $2.89 when rounded to two decimal places) during Bargain Days for 11 shirts with the discount applied.
To determine the final price of t T-shirts with the discount applied, you need to follow these steps:
1. Subtract the regular price of each T-shirt ($8.25) from the total number of T-shirts (t) multiplied by the regular price. This gives you the total discount you will receive on the T-shirts: t * $8.25.
2. Subtract the additional coupon amount ($5.00) from the total discount calculated above. This gives you the final discount on the T-shirts: t * $8.25 - $5.00.
3. Finally, multiply the final discount by 1.05 to account for the tax. This ensures that the tax is applied to the discounted price. So the final rule for the function p(t) is:
p(t) = (t * $8.25 - $5.00) * 1.05
Now, let's calculate the price for 11 shirts during Bargain Days using this rule:
p(11) = (11 * $8.25 - $5.00) * 1.05
= ($90.75 - $5.00) * 1.05
= $85.75 * 1.05
= $89.785
Therefore, you would pay approximately $89.79 for 11 shirts during Bargain Days.