Caswell started studying how the number of branches on his tree grows over time. The relationship between the elapsed time ttt, in years, since Caswell started studying the tree, and the number of its branches, N(t)N(t)N, left parenthesis, t, right parenthesis, is modeled by the following function: N(t)=15⋅(1.64)t3.4 Complete the following sentence about the rate of change in the number of branches.

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

Caswell started studying how the number of branches on his tree grows over time. The relationship between the elapsed time t, in years, since Caswell started studying the tree, and the number of its branches, N(t) is shown below by the function.

[tex]\rm N(t)=15\cdot(1.64)^{\frac{t}{3.4}}[/tex]

Then the rate of change in the number of branches increases by 64% every 3.4 years.

More about the exponent link is given below.

https://brainly.com/question/5497425

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