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the price of a video game is $30. you have a coupon that lowers the pri…

Question

the price of a video game is $30. you have a coupon that lowers the price by 75%. what is the price of the video game after using the coupon? the unknown, which represents the new price of the video game, is labeled with a question mark on the double number line. write an equation to find the new price of the video game. dollars 0? 30 0 25% 50% 75% 100% 125% 150% 175% + · = 25% - 30?

Explanation:

Step1: Determine the remaining percentage

The coupon lowers the price by 75%, so the remaining percentage of the original price is \(100\% - 75\% = 25\%\), which is \(0.25\) in decimal.

Step2: Set up the equation

Let the new price be \(?\). The original price is \(\$30\), so the equation to find the new price is \(? = 30\times(1 - 0.75)\) or \(? = 30\times25\%\).

Answer:

\(? = 30\times0.25\) (or \(? = 30\times25\%\))