$p(x)=(x-0.83)(500-100 x)$ $\newline$ The equation models $p$ , the profit in dollars made by selling tacos at a price of $x$ dollars each. According to the model, as the price of a taco increases, the number of tacos sold decreases. Which of the following statements is the best interpretation of the ordered pair $(2,351)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $351$ tacos are sold at $2$ dollars per taco. $\newline$ (B) The profit from selling each taco is $2$ dollars, and $351$ tacos are sold. $\newline$ (C) The profit from selling tacos at $2$ dollars each is $351$ dollars. $\newline$ (D) The total revenue from selling tacos at $2$ dollars each is $351$ dollars.

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Algebra 1

Solve quadratic equations: word problems

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p(x)=(x-0.83)(500-100 x)

\newline

The equation models

p

, the profit in dollars made by selling tacos at a price of

x

dollars each. According to the model, as the price of a taco increases, the number of tacos sold decreases. Which of the following statements is the best interpretation of the ordered pair

(2,351)

\newline

Choose

1

answer:

\newline

(A)

351

tacos are sold at

2

dollars per taco.

\newline

(B) The profit from selling each taco is

2

dollars, and

351

tacos are sold.

\newline

2

dollars each is

351

dollars.

\newline

(D) The total revenue from selling tacos at

2

dollars each is

351

dollars.

Plug $x=2$ : Plug $x=2$ into the profit function $p(x)$ to verify the profit when the price per taco is $\$2$ . $\newline$ $p(2) = (2 - 0.83)(500 - 100 \times 2)$
Calculate profit: Calculate the profit using the given values. $p(2) = (1.17)(500 - 200)$
Continue calculation: Continue the calculation. $p(2) = (1.17)(300)$
Multiply for profit: Multiply to find the profit. $p(2) = 351$
Interpret result: Interpret the result in the context of the problem. The ordered pair $2,351$ means that the profit from selling tacos at $\$2$ each is $\$351$ .