Your computer store is having an incredible sale. The price on one model is reduced by 40%. Then the sale price is reduced by another 40%. If x is the computer’s original price, the sale price can be modeled by ( x − 0.4 x ) − 0.4 ( x − 0.4 x ) . a. Factor out ( x − 0.4 x ) from each term. Then simplify the resulting expression. b. Use the simplified expression from part (a) to answer these questions. With a 40% reduction followed by a 40% reduction, is the computer selling at 20% of its original price? If not, at what percentage of the original price is it selling?
Your computer store is having an incredible sale. The price on one model is reduced by 40%. Then the sale price is reduced by another 40%. If x is the computer’s original price, the sale price can be modeled by ( x − 0.4 x ) − 0.4 ( x − 0.4 x ) . a. Factor out ( x − 0.4 x ) from each term. Then simplify the resulting expression. b. Use the simplified expression from part (a) to answer these questions. With a 40% reduction followed by a 40% reduction, is the computer selling at 20% of its original price? If not, at what percentage of the original price is it selling?
Solution Summary: The author explains how to calculate the percentage of the original price the computer is being sold at.
Your computer store is having an incredible sale. The price on one model is reduced by 40%. Then the sale price is reduced by another 40%. If x is the computer’s original price, the sale price can be modeled by
(
x
−
0.4
x
)
−
0.4
(
x
−
0.4
x
)
.
a. Factor out
(
x
−
0.4
x
)
from each term. Then simplify the resulting expression.
b. Use the simplified expression from part (a) to answer these questions. With a 40% reduction followed by a 40% reduction, is the computer selling at 20% of its original price? If not, at what percentage of the original price is it selling?
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.