Alice invests $7000 in two certificates of deposit; the interest on the first certificate is 8%, and the interest on the second is 9%. Let's denote the amount she invests in the first certificate by x. Then the amount she invests in the second certificate is . The interest she receives on the first certificate is and the interest she receives on the second certificate is So a function that models the total interest she receives from both certificates is y =
Unitary Method
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Units and Measurements
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![**Problem Scenario: Investment in Certificates of Deposit**
Alice invests $7000 in two certificates of deposit. The interest on the first certificate is 8%, and the interest on the second is 9%.
Let's denote the amount she invests in the first certificate by \( x \).
1. The amount she invests in the second certificate is \( 7000 - x \).
2. The interest she receives on the first certificate is \( 0.08x \).
3. The interest she receives on the second certificate is \( 0.09(7000 - x) \).
Thus, a function that models the total interest she receives from both certificates is:
\[ y = 0.08x + 0.09(7000 - x) \].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc20ba261-3077-4da5-9466-d35d0dacb76b%2Fe9551261-797b-42b0-b0ca-fdaae4472369%2Fc24sl6g_processed.png&w=3840&q=75)
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