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Identify the initial amount a and the rate of decay r (as a percent) of the exponential function g(t) = 240(0.75)^t Evaluate the function
when t= 3. Round your answer to the nearest tenth

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MrRoyalidn

The initial value is 240, the rate is 0.75, and the value of the function at t = 3 is 101.3

What is an exponential function?

An exponential function can represent growth or decay

An exponential function is represented as:

[tex]y = ab^x[/tex]

Where:

  • a represents the initial value
  • b represents the rate

The function is given as:

[tex]g(t) = 240(0.75)^t[/tex]

The above highlights means that:

The initial value is 240, and the rate is 0.75

Substitute 3 for t in g(t).

So, we have:

[tex]g(3) = 240(0.75)^3[/tex]

[tex]g(3) = 101.25[/tex]

Approximate

[tex]g(3) = 101.3[/tex]

Hence, the value of the function at t = 3 is 101.3

Read more about exponential functions at:

https://brainly.com/question/11464095

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