Answer:
Step-by-step explanation:
Given: graph
To find:the inequality
Solution:
Equation of a line passing through points is given by
Take
So,equation of line is evaluated as follows:
As per the graph,inequality is
Here, use sign < and not as line in the graph is dotted that is points on the line are excluded.
The function represents exponential growth with the initial value equal to 1, the decay factor equal to 0.3, and the rate equal to 0.7.
<h3>Population Growth Equation</h3>
The formula for the Population Growth Equation is:
Pf= future population
Po=initial population
r=growth rate
t= time (years)
growth or decay factor = (1 ±r)
When 1+R > 1, the equation represents growth, while 1+R < 1 the equation represents decay.
The question gives:
, then
Pf=y
Po= 1
, thus
r= -70%= -0.7
decay factor= (1-0.7)=0.3
Therefore,
1+R will be = 1+(-0.7)=1 - 0.7 =0.3
When 1+R >1, the function represents exponential growth.
Read more about the exponential function here:
