Lucy can buy a pair of shoes from 4 different retailers. Which is the best buy?A. Online Shoes for $32, plus a sales tax of 8% and shipping and handling costs of $6B. From the Best Buy Shoes catalog for $35 plus 8% sales tax and free shipping and handling. C.Local shoe store for $38 with 15% discount and 8% sales taxD. Local shoestore for $40 with 25% discount and 8% sales tax

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  D. $40 with 25% discount

Step-by-step explanation:

All of the options have 8% sales tax, so that is not important to choosing the best deal.

The store with the lowest price after discount is D (local shoe store #2), as the discount brings the price down to $30 before tax.

The price at store C (local shoe store #1) will be 15% less than $38.00, so about $5.70 less. That is not as low a price as at store D.

The best buy is had at store D.

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In the spreadsheet, we have multiplied the base price by (1+discount) then added shipping. That total is multiplied by (1+tax rate).

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x