Question

answer the questions below.
note that a change can be an increase or a decrease.
for an increase, use a positive number.
for a decrease, use a negative number.
(a) keiko owns 16 shares of a certain stock. yesterday the value of each share went up by 8 dollars. what was the total change in value of her shares?
(\boldsymbol{square}) dollars
(b) a private club was reduced by 28 members in 4 weeks. its size changed by the same number of members each week. what was the change in the club’s size each week?
(\boldsymbol{square}) members

Explanation:

Part (a)

Step1: Identify the number of shares and change per share

Keiko has 16 shares, and each share's value increased by 8 dollars. To find the total change, we multiply the number of shares by the change per share.

Step2: Calculate the total change

The formula for total change is \( \text{Total Change} = \text{Number of Shares} \times \text{Change per Share} \). Substituting the values, we get \( 16 \times 8 = 128 \). Since it's an increase, we use a positive number.

Step1: Identify the total change and number of weeks

The club's membership was reduced by 28 members over 4 weeks, and the change per week is the same. To find the change per week, we divide the total change by the number of weeks.

Step2: Calculate the change per week

The formula for change per week is \( \text{Change per Week} = \frac{\text{Total Change}}{\text{Number of Weeks}} \). The total change is -28 (since it's a decrease), and the number of weeks is 4. So, \( \frac{-28}{4} = -7 \).

Answer:

128 dollars

Part (b)