Y our local electronics store is having an end-of-the-year sale. The price on a plasma television had been reduced by 30%. Now the sale price is reduced by another 30%. If x is the television’s original price, the sale price can be modeled by
(x − 0.3x) − 0.3(x − 0.3x).
a. Factor out (x − 0.3x) from each term. Then simplify the resulting expression.
b. Use the simplified expression from part (a) to answer these questions. With a 30% reduction followed by a 30% reduction, is the television selling at 40% of its original price? If not, at what percentage of the original price is it selling?
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