Question

The local government is concerned with the population of a new predatory fish, the tiger gar, which was first observed in Lake Richmond about 5 years ago. The following table shows the approximate number of tiger gars living in the lake since 2016:

2016 2017 2018 2019 2020 2021
345 421 513 626 764 932


Using the TI-nspire calculator, write an exponential function that models the population of tiger gar in the lake. (Round all numbers to the nearest hundredth.)
y=blank(blank)x

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

The exponential function that models the population of tiger gar in the lake is given by:

$y = 345(1.22)^t$

What is an exponential function?

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

• A(0) is the initial value.

• r is the decay rate, as a decimal.

In this problem, the parameters are given as follows:

$A(0) = 345, 1 + r = \frac{932}{764} = \frac{764}{626} = \cdots = \frac{421}{345} = 1.22$

Hence the equation is given by:

$y = 345(1.22)^t$

More can be learned about exponential functions at https://brainly.com/question/25537936

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