The expression representing the discounted price of a TV given as x - 0.25x can be simplified to 0.75x, indicating that the discounted price is 75% of the original price.
Step-by-step explanation:
The expression given, x - 0.25x, represents the discounted price of a TV, where x is the original price. This expression can be simplified. Since the original price is x and the discount is 25% of x, we can factor out the x and combine like terms.
To find an expression that could represent the same discounted price, you combine the like terms to get 0.75x. This means you are taking 75% of the original price, which is the same as the original price minus a 25% discount.
Here's the step-by-step simplification:
Original expression: x - 0.25x
Factor out x: x(1 - 0.25)
Simplify inside the parentheses: x(0.75)
Final simplified expression: 0.75x