https://file.aiquickdraw.com/mathbot/file/1726888982573z6jl0egr.jpg

The given equation is:

\[
y = 0.25x^2 - 7.5x + 90.25
\]

This represents the estimated stock price $y$ in dollars, for a company $x$ days after a new product was launched, where $0 \leq x \leq 20$.

We are tasked with interpreting the point $(x, y) = (1, 83)$ in the context of the problem. Let's calculate the value of $y$ when $x = 1$ using the equation to verify the stock price.

Substituting $x = 1$ into the equation:

\[
y = 0.25(1)^2 - 7.5(1) + 90.25
\]
\[
y = 0.25 - 7.5 + 90.25
\]
\[
y = 83
\]

So, when $x = 1$ (1 day after the new product launched), the stock price $y = 83$, which means the company's estimated stock price is $83.

### Correct Interpretation:

The correct statement is **C)**:
- "1 day after the new product launched, the company's estimated stock price is $83."

Let me know if you want more details or have any questions. Here are 5 related questions to expand the topic:

1. How does the stock price change as $x$ increases?
2. What is the minimum stock price within the given range $0 \leq x \leq 20$?
3. How would you interpret the point $(0, 90.25)$ in this context?
4. What happens to the stock price after $x = 20$?
5. Can you find the vertex of the parabola and explain its significance?

**Tip**: To analyze quadratic functions, look for the vertex to understand the maximum or minimum point of the curve.

The equation gives the estimated stock price y, in dollars, for a certain company x days after a new product launched, where 0 ≤ x ≤ 20. Which statement is the best interpretation of (x, y) = (1, 83) in this context?

Learn how to interpret the stock price of a company using a quadratic equation model. This problem provides an example of a quadratic equation with a real-world application, solving for the stock price 1 day after a product launch. Suitable for students in Grades 9-10.

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