You Plan to Invest Up to $60,000 in Two Different $\left\{ \begin{aligned}x + y & \leq 60,000 \\x & \geq 8000 \\y & \geq 8000 \\x - 3 y & \leq 0\end{aligned} \right.$

question 18

Multiple Choice

You plan to invest up to $60,000 in two different interest-bearing accounts. Each account is to contain at least $8000. Moreover, one account should have at least three times the amount that is in the other account. Find a system of inequalities that describes the amount that you can invest in each account.

• A) \(\left\{ \begin{aligned}
• x + y & \leq 60,000 \\
• x & \geq 8000 \\
• y & \geq 8000 \\
• x - 3 y & \leq 0
• \end{aligned} \right.\)
• B) \(\left\{ \begin{aligned}
• x + y & \geq 60,000 \\
• x & \geq 8000 \\
• y & \geq 8000 \\
• x - 3 y & \leq 0
• \end{aligned} \right.\)
• C) \(\left\{ \begin{aligned}
• x + y & \geq 60,000 \\
• x & \leq 8000 \\
• y & \leq 8000 \\
• x - 3 y & \geq 0
• \end{aligned} \right.\)
• D) \(\left\{ \begin{aligned}
• x + y & \leq 60,000 \\
• x & \geq 8000 \\
• y & \geq 8000 \\
• x - 3 y & \geq 0
• \end{aligned} \right.\)
• E) \(\left\{ \begin{aligned}
• x + y & \geq 60,000 \\
• x & \geq 8000 \\
• y & \geq 8000 \\
• x - 3 y & \geq 0
• \end{aligned} \right.\)

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