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The quantity of an element is decaying over time such that the amount of material
any time is given by the function F(t) = 6700(0.7)3t. Write an equivalent function
of the form F(t) = abt.

Respuesta :

T too so yeah four of people
abidemiokin

The equivalent function in the form y = ab^x is [tex]F(t)=2,298.1(0.7)^t[/tex]

Exponential functions:

Give the exponential function in a general sense as y = ab^x

  • Given the exponential function [tex]F(t) = 6700(0.7)^{3t}[/tex]

We are to write it in the form [tex]f(t) = ab^t[/tex]

This can be further expressed as;

[tex]F(t) = 6700(0.7)^{3t}\\F(t) = 6700(0.7^3)(0.7^t)\\F(t)=2,298.1(0.7)^t[/tex]

Hence the equivalent function in the form y = ab^x is [tex]F(t)=2,298.1(0.7)^t[/tex]

Learn more on exponential function here: https://brainly.com/question/12940982

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