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Sam opens a savings account at the start of the school year. The amount of money in Sam's college savings account is given by the function: \( \mathrm{A}(\mathrm{W})=2400-60 \mathrm{~W} \) Where = the number of weeks since school started and A(w) = represents the amount of money, in dollars, left in the account w weeks after school started Find the missing value in the ordered pair described by the function notation and then choose the option that best describes the meaning of that ordered pair. A(w) \( =600 \) means... After 600 weeks of school Sam has \( -\$ 33,600 \) in the account. After 10 weeks of school Sam has \( \$ 1,800 \) in the account. After 10 weeks of school Sam has \( \$ 600 \) in the account. After 30 weeks of school Sam has \( \$ 600 \) in the account. After 10 weeks of school Sam has \( -\$ 600 \) in the account. After 60 weeks of school Sam has \( \$ 0 \) in the account.

Ask by Gough George. in the United States
Feb 13,2025

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After 30 weeks of school, Sam has $600 in the account.

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To find the ordered pair when \( A(w) = 600 \), we can set the equation \( 2400 - 60W = 600 \) and solve for \( W \). This gives us \( 2400 - 600 = 60W \), leading to \( 1800 = 60W \) or \( W = 30 \). Therefore, the ordered pair is \( (30, 600) \). Now, regarding that ordered pair: After 30 weeks of school, Sam has \$600 in the account. So, the correct option is "After 30 weeks of school Sam has \( \$ 600 \) in the account." This highlights how saving money can go, but also what happens when you continuously take money out—yikes!

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