A smart phone is on sale for 25% off its list price. The sale price is $149.25. What expression can be used to represent the list price of the phone.
149.25 = x - 0.25 x
149.25 = 0.75 x
x = 149.25 / 0.75
To find the expression that represents the list price of the phone, we need to understand how the sale price relates to the list price.
We're given that the phone is on sale for 25% off its list price. This means that the sale price is only 75% of the list price because 100% - 25% = 75%.
We also know that the sale price is $149.25.
To find the list price, we can use the following expression:
List Price = Sale Price / (1 - Discount)
Now, let's substitute the values into the expression:
List Price = $149.25 / (1 - 0.25)
Simplifying further:
List Price = $149.25 / 0.75
List Price ≈ $199
Therefore, the expression that represents the list price of the phone is $199.