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The original selling price of a share of stock was d dollars. The selling price for a share of the same stock at a later date was represented by the expression 0.2(1.65 d). Which description could explain what happened to the price of the share of stock? The price increased by 165% and then decreased by 0.8% The price increased by 65% and then decreased by 80% The price decreased by 0.2% and then increased by 65% The price decreased by 80% and then increased by 165%

The original selling price of a share of stock was d d dollars. The selling price for a share of the same stock at a later date was represented by the expression 0.2(1.65d) 0.2(1.65 d) . Which description could explain what happened to the price of the share of stock?\newlineThe price increased by 165% 165 \% and then decreased by 0.8% 0.8 \% \newlineThe price increased by 65% 65 \% and then decreased by 80% 80 \% \newlineThe price decreased by 0.2% 0.2 \% and then increased by 65% 65 \% \newlineThe price decreased by 80% 80 \% and then increased by 165% 165 \%

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Q. The original selling price of a share of stock was d d dollars. The selling price for a share of the same stock at a later date was represented by the expression 0.2(1.65d) 0.2(1.65 d) . Which description could explain what happened to the price of the share of stock?\newlineThe price increased by 165% 165 \% and then decreased by 0.8% 0.8 \% \newlineThe price increased by 65% 65 \% and then decreased by 80% 80 \% \newlineThe price decreased by 0.2% 0.2 \% and then increased by 65% 65 \% \newlineThe price decreased by 80% 80 \% and then increased by 165% 165 \%
  1. Interpretation of Expression: Understand the expression 0.2(1.65d)0.2(1.65d). The expression 0.2(1.65d)0.2(1.65d) can be interpreted as the original price dd being increased by 65%65\% to become 1.65d1.65d, and then this new price is multiplied by 0.20.2.
  2. Calculate Percentage Increase: Calculate the percentage increase.\newlineTo find the percentage increase, we look at the factor by which dd is multiplied. The original price dd is increased by 65%65\% to become 1.65d1.65d.\newline1+65%=1+0.65=1.651 + 65\% = 1 + 0.65 = 1.65\newlineThis confirms that the price increased by 65%65\%.
  3. Calculate Percentage Decrease: Calculate the percentage decrease.\newlineAfter the increase, the price is multiplied by 0.20.2. To understand this, we need to convert 0.20.2 into a percentage.\newline0.20.2 as a percentage is 0.2×100%=20%0.2 \times 100\% = 20\%.\newlineThis means that the new price is 20%20\% of the increased price, which is equivalent to a decrease of 80%80\% from the increased price.
  4. Combine Price Changes: Combine the changes to describe what happened to the price.\newlineThe price of the stock first increased by 65%65\% and then decreased by 80%80\%.

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