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Serena Williams opened a savings account to deposit all her tennis winnings. She initially deposited $8,000. After a year of monthly deposits, her account balance is $14,000.

a. How much money did Serena deposit each month? (slope)
b. Write a Next/Now statement for the situation above.
c. Write an equation (y =) for the situation above.

User Karlom
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1 Answer

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Final answer:

Serena Williams initially deposited $8,000 in her savings account. She deposited $500 each month. The equation can be written as y = 500x + 8000.

Step-by-step explanation:

To determine how much money Serena Williams deposited each month, we can subtract her initial deposit of $8,000 from her final balance of $14,000. So she deposited $14,000 - $8,000 = $6,000 over the course of a year. Since there are 12 months in a year, we can divide $6,000 by 12 to find out how much she deposited each month. Therefore, Serena Williams deposited $6,000 / 12 = $500 each month.

A Next/Now statement for this situation could be 'Next month, Serena will deposit $500 in her savings account. Now, after a year of monthly deposits, her account balance is $14,000.'

The equation for this situation can be written as y = 500x + 8000, where y represents the account balance and x represents the number of months. The initial deposit of $8,000 is represented by the y-intercept of 8000, and the monthly deposit of $500 is represented by the slope of 500.

User Mark Druffel
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