#9: Before or After Tax You are planning to purchase a tablet from a local electronics store. You have a coupon for $25 off the purchase of a tablet. Sales tax is 7%. t(x)=1.07x represents the price after tax of a tablet that costs x dollars. • d(x) =x - 25 represents the price after the discount for the coupon is applied. A. Find (t d)(x). B. Find (d f)(x). C. Which of A or B leads to you paying more? Explain your reasoning in terms of when the tax is applied with respect to the discount. Google

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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#9: Before or After Tax

You are planning to purchase a tablet from a local electronics store. You have a coupon for $25 off the purchase of a tablet. Sales tax is 7%.

- \( t(x) = 1.07x \) represents the price after tax of a tablet that costs \( x \) dollars.
- \( d(x) = x - 25 \) represents the price after the discount for the coupon is applied.

A. Find \( (t \circ d)(x) \).

B. Find \( (d \circ t)(x) \).

C. Which of A or B leads to you paying more? Explain your reasoning in terms of when the tax is applied with respect to the discount.
Transcribed Image Text:#9: Before or After Tax You are planning to purchase a tablet from a local electronics store. You have a coupon for $25 off the purchase of a tablet. Sales tax is 7%. - \( t(x) = 1.07x \) represents the price after tax of a tablet that costs \( x \) dollars. - \( d(x) = x - 25 \) represents the price after the discount for the coupon is applied. A. Find \( (t \circ d)(x) \). B. Find \( (d \circ t)(x) \). C. Which of A or B leads to you paying more? Explain your reasoning in terms of when the tax is applied with respect to the discount.
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