Question

Find the exponential function that satisfies the given conditions:

Initial value = 30, increasing at a rate of 13% per year (2 points)
O f(t)= 13 1.13t
Of(t)= 30 13t
Of(t)= 30 1.13t
Of(t)= 30 0.13t

Answer 1

Of(t) = 30 * 1.13^t

Explanation:

The exponential function f(t) = 30 * 1.13^t models a quantity that grows at a rate of 13% per year from an initial value of 30. The base of the exponent, 1.13, represents the factor by which the quantity increases each year. The exponent t represents the number of years from the starting point. So, when t = 0, the function gives the initial value of 30, and for each increase in t by 1, the quantity represented by the function grows by 13%.

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