https://file.aiquickdraw.com/mathbot/file/1730072998311qn0yuipx.jpg

Let's analyze and solve each question provided in the image:

### Question (a)
Diane owns 10 shares, and the total value of these shares decreased by 40 dollars. We need to find the change in value per share.

1. Total decrease = 40 dollars
2. Number of shares = 10

Change per share = Total decrease / Number of shares  
\[
\text{Change per share} = \frac{-40}{10} = -4 \text{ dollars}
\]

So, the change in value for each share is **-4 dollars**.

---

### Question (b)
A private club grew by 9 members each week for 27 weeks. We need to calculate the total change in the club's size.

1. Weekly increase = 9 members
2. Number of weeks = 27

Total increase = Weekly increase × Number of weeks  
\[
\text{Total increase} = 9 \times 27 = 243 \text{ members}
\]

So, the total change in the club's size is **243 members**.

---

Do you want further details on these calculations, or do you have any questions?

Here are five related questions to deepen your understanding:

1. If Diane's shares decreased by 60 dollars in total, what would be the change in value per share?
2. What would the total increase be if the club grew by 12 members each week for 20 weeks?
3. If the total decrease in Diane's shares was distributed over 8 shares, what would be the change per share?
4. What is the effect of doubling the weekly increase in members on the total growth over 27 weeks?
5. If Diane's stock value decreased at a different rate per share, how would we calculate the new individual share change?

**Tip:** When dealing with increases or decreases per unit, dividing the total change by the number of units provides the average change per unit.

Answer the questions:

(a) Diane owns 10 shares of a stock, and the total value went down by 40 dollars. What was the change in value for each share?
(b) A private club grew by 9 members each week for 27 weeks. What was the total change in the club's size?

This exercise explores how to calculate the change in stock value per share and the total growth in club membership over a period of weeks. Learn how to use division and multiplication to find these values. Suitable for students in Grades 5-7.

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