Pregunta
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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

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**(a) Each share decreased by 4 dollars.** **(b) The club gained a total of 150 members.**

Solución

**(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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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!

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