Question
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) Mal owns 7 shares of a certain stock. Yesterday the total value of her shares went down by 28 doliars. What was the change in value for each share? dollars (b) A private club grew by 5 members each week for 30 weeks. What was the total change in the club's size? \( \square \) members
Ask by Franklin Martinez. in the United States
Mar 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
**(a) Each share decreased by 4 dollars.**
**(b) The club gained a total of 150 members.**
Solution
**(a) Determine the change in value for each share**
Mal's stocks lost a total of \( -28 \) dollars on 7 shares. To find the change per share, divide the total change by the number of shares:
\[
\text{Change per share} = \frac{-28}{7} = -4 \text{ dollars}
\]
**(b) Determine the total change in the club's size**
The club gained 5 members each week for 30 weeks. Multiply the weekly increase by the number of weeks to obtain the total change:
\[
\text{Total change in club's size} = 5 \times 30 = 150 \text{ members}
\]
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Simplify this solution The Deep Dive
To find the change in value for each share, you'll take the total decrease of $28 and divide it by the 7 shares Mal owns. So, the calculation is \(-28 \div 7 = -4\). This means the change in value for each share was -4 dollars, indicating a decrease of $4 per share. For the private club, if it grew by 5 members each week for 30 weeks, you multiply those two numbers together: \(5 \times 30 = 150\). Therefore, the total change in the club's size is a positive 150 members, reflecting its growth!
