By using the first two points on the graph, we conclude that exponential equation is:
y = 200*(0.4)^t
What is the equation?
We assume that the equation is an exponential decay of the form:
y = A*(r)^t
When t = 0 we have:
y = A
On the graph we can see that the initial value is 200, then A = 200, so we have:
y = 200*(r)^t
By looking at the graph we can see that:
80 = 200*(r)^1 (this is the second point graphed).
Solving for r we get:
80 = 200*(r)
80/200 = r = 0.4
Then the exponential equation is:
y = 200*(0.4)^t
If you want to learn more about exponential equations, you can read:
https://brainly.com/question/11832081
