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The function models $R$ , the revenue, in dollars, from selling a particular board game at a price of $x$ dollars. What is the revenue if the board game is sold at a price of $30$ dollars? $\newline$ Choose $1$ answer: $\newline$ (A) $\$500,000$ $\newline$ (B) $\$800,000$ $\newline$ (C) $\$900,000$ $\newline$ (D) $\$1,770,000$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. The function models

R

, the revenue, in dollars, from selling a particular board game at a price of

x

dollars. What is the revenue if the board game is sold at a price of

30

dollars?

\newline

Choose

1

answer:

\newline

(A)

\$500,000

\newline

(B)

\$800,000

\newline

(C)

\$900,000

\newline

(D)

\$1,770,000

Identify revenue function and price: Identify the revenue function and the price at which the board game is sold. $\newline$ Revenue function: $R(x) = x(60,000 - 1,000x)$ $\newline$ Price: $x = 30$ dollars
Substitute price into revenue function: Substitute the price into the revenue function to calculate the revenue. $\newline$ $R(30) = 30(60,000 - 1,000\times30)$
Perform multiplication inside parentheses: Perform the multiplication inside the parentheses. $R(30) = 30(60,000 - 30,000)$
Simplify expression inside parentheses: Simplify the expression inside the parentheses. $R(30) = 30(30,000)$
Perform final multiplication to find revenue: Perform the final multiplication to find the revenue. $\newline$ $R(30) = 30 \times 30,000$ $\newline$ $R(30) = 900,000$

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