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.