Subjects algebra

Video Game Sales

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1. **State the problem:** We are given the function $$N = -0.07p^2 + 0.8p + 88$$ where $N$ is the number of units sold (in thousands) and $p$ is the price (in dollars). We need to find the missing value of $N$ when $p=20$ and explain the meaning of the ordered pair $(25, 64)$. 2. **Find $N$ when $p=20$:** Substitute $p=20$ into the function: $$N = -0.07(20)^2 + 0.8(20) + 88$$ Calculate step-by-step: $$20^2 = 400$$ $$-0.07 \times 400 = -28$$ $$0.8 \times 20 = 16$$ Now sum all terms: $$N = -28 + 16 + 88 = 76$$ Rounded to the nearest whole number, $N = 76$. 3. **Complete the table entry:** The ordered pair is $(20, 76)$. 4. **Explain the meaning of $(25, 64)$:** When the price of the game is $25$, the company expects to sell 64,000 units (since $N$ is in thousands). **Final answers:** - Missing ordered pair: $(20, 76)$ - Explanation: If the price of the game is 25, the company expects to sell 64,000 games.