Question

katie’s family is shopping for a large screen tv. the tv they decided on has a retail price of $1,000 at four stores. the state sales tax is 5%. each store is offering a different sales promotion, as listed in the table. table: store a: $80 rebate; store b: 10% discount on price; store c: store pays all sales tax; store d: $40 rebate with store paying half of sales tax which store has the best deal? options: store a, store b, store c, store d

Explanation:

Step1: Calculate total for Store A

First, find the price after rebate: \(1000 - 80 = 920\). Then add sales tax (5% of 920): \(920 + 0.05\times920 = 920 + 46 = 966\).

Step2: Calculate total for Store B

First, find the discounted price: \(1000\times(1 - 0.10) = 1000\times0.90 = 900\). Then add sales tax (5% of 900): \(900 + 0.05\times900 = 900 + 45 = 945\).

Step3: Calculate total for Store C

Store pays sales tax, so total is just the retail price: \(1000\) (since tax is paid by store, customer pays \(1000\)).

Step4: Calculate total for Store D

First, find the price after rebate: \(1000 - 40 = 960\). Then find the sales tax (5% of 960) and the store pays half, so customer pays half: \(0.05\times960\times0.5 = 24\). Total: \(960 + 24 = 984\).

Answer:

store B