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The image you uploaded shows a question about a linear demand function for a specific type of cell phone. Here's a breakdown of the relevant parts:

### Part (a):
- The demand function is given as $ q(p) = -10p + 4390 $, where $ p $ is the price in dollars, and $ q(p) $ represents the sales in millions of phones.
- You're asked to predict the sales if the price is raised to $385.

We can use the given linear equation to calculate the predicted sales:
\[
q(385) = -10(385) + 4390
\]

Let me calculate this for you.The predicted sales for this type of cell phone when the price is raised to $385 is **540 million phones**.

### Part (b):
- You're asked to fill in the blank: For every $1 increase in price, the sales of this type of cell phone decrease by **10 million units**.
- This matches the slope of the linear demand function $ -10 $, meaning sales drop by 10 million units for each $1 increase in price.

Do you have any further questions or would you like more details on how this was calculated?

Here are 5 related questions to deepen understanding:
1. How would the demand function change if the slope became steeper, say $ q(p) = -15p + 4390 $?
2. What is the price at which sales would drop to zero?
3. How would the sales be affected if the price dropped to $200?
4. Can you derive a revenue function from the given demand equation?
5. What assumptions are made about the demand for this phone model in creating a linear demand function?

**Tip:** In linear demand functions, the slope (rate of change in sales per price unit) is crucial in predicting consumer behavior. Understanding this helps in pricing strategies!

The following table shows worldwide sales of a certain type of cell phone and their average selling prices in 2013 and 2017. Use the data to obtain a linear demand function for this type of cell phone. Predict sales if the price is raised to $385. Additionally, fill in the blank for how much sales decrease for every $1 increase in price.

Learn how to use a linear demand function to predict cell phone sales based on price changes. This problem involves calculating the sales for a price increase to $385 and determining how sales decrease for every $1 increase in price. Suitable for students in Grades 10-12.

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