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Jackson was out at a restaurant for dinner when the bill came. He wanted to leave a 24% tip. If dinner cost d dollars and cents, which expression represents the cost of dinner plus tip? (1+0.24)d d+0.24 1.24 0.24 d

Jackson was out at a restaurant for dinner when the bill came. He wanted to leave a 24% 24 \% tip. If dinner cost d d dollars and cents, which expression represents the cost of dinner plus tip?\newline(1+0.24)d (1+0.24) d \newlined+0.24 d+0.24 \newline11.2424\newline0.24d 0.24 d

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Full solution

Q. Jackson was out at a restaurant for dinner when the bill came. He wanted to leave a 24% 24 \% tip. If dinner cost d d dollars and cents, which expression represents the cost of dinner plus tip?\newline(1+0.24)d (1+0.24) d \newlined+0.24 d+0.24 \newline11.2424\newline0.24d 0.24 d
  1. Identify Percentage and Cost: Identify the percentage of the tip and the original cost of the dinner. The tip is 24%24\% of the dinner cost, which is represented as 0.240.24 times the cost of dinner (dd).
  2. Translate Percentage to Decimal: Translate the percentage tip into a decimal and add it to the original cost to find the total cost.\newlineThe expression for the total cost including tip is the original cost dd plus the tip 0.24d0.24d.
  3. Combine Original Cost and Tip: Combine the original cost and the tip into a single expression.\newlineThe expression for the total cost is d+0.24dd + 0.24d.
  4. Factor Out Common Factor: Factor out the common factor dd to simplify the expression.\newlineThe simplified expression is (1+0.24)d(1 + 0.24)d or 1.24d1.24d.

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