Questions: Through market research, a business analyst has determined that the number N (in thousands) of units of a new video game the company can sell is a function of the price p (in dollars) of the game and is given by N=-0.07 p^2+0.8 p+86. (a) Find the ordered pair to complete the following table. Round to the nearest whole number. p N (p, N) 10 87 (10,87) 15 82 (15,82) 20 (20,) 25 62 (25,62) 30 47 (30,47) 35 28 (35,28) 40 6 (40,6) (b) Write a sentence that explains the meaning of the ordered pair (25,62) in the context of this problem. If the price of the game is , the company expects to sell games. (c) Graph the function for p between 10 and 40.

Transcript text: Through market research, a business analyst has determined that the number $N$ (in thousands) of units of a new video game the company can sell is a function of the price $p$ (in dollars) of the game and is given by $N=-0.07 p^{2}+0.8 p+86$. (a) Find the ordered pair to complete the following table. Round to the nearest whole number. \begin{tabular}{|c|c|c|} \hline p & N & $(p, N)$ \\ \hline 10 & 87 & $(10,87)$ \\ \hline 15 & 82 & $(15,82)$ \\ \hline 20 & & ( \\ \hline 25 & 62 & $(25,62)$ \\ \hline 30 & 47 & $(30,47)$ \\ \hline 35 & 28 & $(35,28)$ \\ \hline 40 & 6 & $(40,6)$ \\ \hline \end{tabular} (b) Write a sentence that explains the meaning of the ordered pair $(25,62)$ in the context of this problem. If the price of the game is $\$$ $\square$ , the company expects to sell $\square$ games. (c) Graph the function for $p$ between $\$ 10$ and $\$ 40$.