The quadratic function i( t )= - 0.1t2 + 1.6t represents the yearly income (or loss) from a real estate investment, where t is time in years. in what year does income reach its maximum?

8th year

Step-by-step explanation:

The yearly income or loss of the investment is modeled by a quadratic function. The maximum or minimum value of the quadratic function occurs at its vertex. Since, the coefficient of the squared term is negative, the given function will have a maximum value at its vertex.

The vertex of a quadratic function occurs at =

Here,

a = coefficient of squared term = -0.1

b = coefficient of linear term = 1.6

Using these values, we get:

Vertex occurs at = t =

This means, the real estate investment will reach its maximum in 8th year.

step-by-step explanation:

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