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)

C=1

k = 0.3466

Step-by-step explanation:

Given that an exponential function is of the form

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=mx+b

step-by-step explanation:

m slope, b y-intercept

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !