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r(x)=x(32-2x)
The function models 
r, the revenue in thousands of dollars made by selling a particular chocolate bar at a price of 
x dollars. According to the model, as the price of the chocolate bar increases, the number of bars sold decreases. Which of the following statements is the best interpretation of the ordered pair 
(4,96) ?
Choose 1 answer:
(A) The revenue from selling the chocolate bar at 4 dollars per bar is 96 thousand dollars.
(B) The revenue from selling the chocolate bar at 4 dollars per bar is 96 dollars.
(C) 96 thousand bars of chocolate are sold at 4 dollars per bar.
(D) 96 bars of chocolate are sold at 4 dollars per bar.

r(x)=x(322x) r(x)=x(32-2 x) \newlineThe function models r r , the revenue in thousands of dollars made by selling a particular chocolate bar at a price of x x dollars. According to the model, as the price of the chocolate bar increases, the number of bars sold decreases. Which of the following statements is the best interpretation of the ordered pair (4,96) (4,96) ?\newlineChoose 11 answer:\newline(A) The revenue from selling the chocolate bar at 44 dollars per bar is 9696 thousand dollars.\newline(B) The revenue from selling the chocolate bar at 44 dollars per bar is 9696 dollars.\newline(C) 9696 thousand bars of chocolate are sold at 44 dollars per bar.\newline(D) 9696 bars of chocolate are sold at 44 dollars per bar.

Full solution

Q. r(x)=x(322x) r(x)=x(32-2 x) \newlineThe function models r r , the revenue in thousands of dollars made by selling a particular chocolate bar at a price of x x dollars. According to the model, as the price of the chocolate bar increases, the number of bars sold decreases. Which of the following statements is the best interpretation of the ordered pair (4,96) (4,96) ?\newlineChoose 11 answer:\newline(A) The revenue from selling the chocolate bar at 44 dollars per bar is 9696 thousand dollars.\newline(B) The revenue from selling the chocolate bar at 44 dollars per bar is 9696 dollars.\newline(C) 9696 thousand bars of chocolate are sold at 44 dollars per bar.\newline(D) 9696 bars of chocolate are sold at 44 dollars per bar.
  1. Plug in x=4x=4: Plug in x=4x=4 into the revenue function r(x)r(x) to check if it results in 9696.\newliner(4)=4(322×4)r(4) = 4(32 - 2\times4)
  2. Calculate inner expression: Calculate the inner expression 322×432 - 2 \times 4. \newline322×4=32832 - 2 \times 4 = 32 - 8
  3. Simplify the expression: Simplify the expression. 328=2432 - 8 = 24
  4. Multiply by 44: Multiply the result by 44 to find r(4)r(4). \newliner(4)=4×24r(4) = 4 \times 24
  5. Calculate the product: Calculate the product. 4×24=964 \times 24 = 96
  6. Interpret the result: Since r(4)=96r(4) = 96, the ordered pair (4,96)(4,96) means that the revenue is 9696 thousand dollars when the price per chocolate bar is 44 dollars.

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