contestada

Rewrite y=5(0.82)^t/5 in the form y=a(1+r)^t or y=a(1−r)^t to determine whether it represents exponential growth or exponential decay. Round a and r to the nearest hundredth if necessary.

Respuesta :

MrRoyal

The true statements are:

  • The equation of the function is: [tex]y = 5(1 - 0.04)^t[/tex]
  • The function represents an exponential decay

What is an exponential function?

An exponential function is a function that has the form

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

Where:

  • a represents the initial value
  • b represents the rate

The function is given as:

[tex]y = 5(0.82)^{t/5}[/tex]

Rewrite the above function as:

[tex]y = 5(0.82^{1/5})^t[/tex]

Evaluate the exponent

[tex]y = 5(0.96)^t[/tex]

Express 0.96 as 1 - 0.04.

[tex]y = 5(1 - 0.04)^t[/tex]

Given that 0.96 is less than 1, then the function represents an exponential decay

Read more about exponential functions at:

https://brainly.com/question/11464095

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