Question

Lourdes invests $200 in a friend's startup company. She agrees to keep her money with them for the next 4 years, and they will pay Lourdes 7% interest annually on her principal, the original amount she invested. The linear function A(t) = 14t + 200 models Lourdes' investment. What is the domain of the function that models Lourdes' investment?

Answer 1

The domain of the function that models Lourdes' investment is the set of all real numbers from 0 to 4, inclusive: [0, 4].

Step-by-step explanation:

The linear function A(t) = 14t + 200 models Lourdes' investment.

The function represents the total amount of money Lourdes will have after t years, where t is the number of years since she made the initial investment of $200. The term 14t represents the interest she earns annually, and the constant term 200 represents her initial investment.

The domain of the function represents the possible values of t. Since she agreed to keep her money with the startup company for 4 years, the domain of the function is the set of all real numbers from 0 to 4, inclusive: [0, 4].