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Modeling Exponential Growth and Decay In Exercises 119 and 120, Find the exponential function
y = Cekt
that passes through the two given points.
(0, 3), (4, 1)

Respuesta :

Answer:

C=1

k = 0.3466

Step-by-step explanation:

Given that an exponential function is of the form

[tex]y =Ce^(kt)[/tex]

Here we are not given the values of C and k

But two points are given

Substitute those two points in the equaiton to get two equations in c and k

We solve and get values of C and k

3=C(1) i.e. C=1

4 = (1) e^4k

4k = ln 4

k = 0.3466

Function is

[tex]y = e^{0.3466t}[/tex]

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