$r(x)=x(32-2 x)$ $\newline$ 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 $(4,96)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) The revenue from selling the chocolate bar at $4$ dollars per bar is $96$ thousand dollars. $\newline$ (B) The revenue from selling the chocolate bar at $4$ dollars per bar is $96$ dollars. $\newline$ (C) $96$ thousand bars of chocolate are sold at $4$ dollars per bar. $\newline$ (D) $96$ bars of chocolate are sold at $4$ dollars per bar.

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Algebra 1

Solve quadratic equations: word problems

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r(x)=x(32-2 x)

\newline

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)

\newline

Choose

1

answer:

\newline

(A) The revenue from selling the chocolate bar at

4

dollars per bar is

96

thousand dollars.

\newline

(B) The revenue from selling the chocolate bar at

4

dollars per bar is

96

dollars.

\newline

(C)

96

thousand bars of chocolate are sold at

4

dollars per bar.

\newline

(D)

96

bars of chocolate are sold at

4

dollars per bar.

Plug in $x=4$ : Plug in $x=4$ into the revenue function $r(x)$ to check if it results in $96$ . $\newline$ $r(4) = 4(32 - 2\times4)$
Calculate inner expression: Calculate the inner expression $32 - 2 \times 4$ . $\newline$ $32 - 2 \times 4 = 32 - 8$
Simplify the expression: Simplify the expression. $32 - 8 = 24$
Multiply by $4$ : Multiply the result by $4$ to find $r(4)$ . $\newline$ $r(4) = 4 \times 24$
Calculate the product: Calculate the product. $4 \times 24 = 96$
Interpret the result: Since $r(4) = 96$ , the ordered pair $(4,96)$ means that the revenue is $96$ thousand dollars when the price per chocolate bar is $4$ dollars.