Question

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)

Answer 1

C=1

k = 0.3466

Explanation:

Given that an exponential function is of the form

`y =Ce^(kt)`

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

`y = e^(0.3466t)`