Two stores sell the same refrigerator for the same original price. store a advertises that the refrigerator is on sale for 15% off the original price. store b advertises that it is reducing the refrigerator’s price by $150. when stephanie compares the sale prices of the refrigerator in both stores, she concludes that the sale prices are equal. let p represent the refrigerator’s original price. which equation models this situation?

Step-by-step explanation:

We are given that Two stores sell the same refrigerator for the same original price

Let p be the original price

So,Store A advertises that the refrigerator is on sale for 15% off the original price

So, Price after off =

Store B advertises that it is reducing the refrigerator’s price by $150

So, Price after off =

Now we are given that When Stephanie compares the sale prices of the refrigerator in both stores, she concludes that the sale prices are equal.

So,  

Hence equation models this situation is  

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)