Answer :
The graph is attached, showing the intersection point at 13.5 years and populations of 235.2 for each population.
We only consider the portion of the graph from x=0 on, since negative time is illogical. Tracing the graph we get the intersection point.
We only consider the portion of the graph from x=0 on, since negative time is illogical. Tracing the graph we get the intersection point.
Answer:
13.5 years.
Step-by-step explanation:
We know that exponential growth function is in form [tex]y=a\cdot(1+r)^x[/tex], where, a is initial value and r is growth rate in decimal form.
Population of goldfish after x years would be [tex]y=20\cdot(1+0.20)^x[/tex].
We know that a linear function is in form [tex]y=mx+b[/tex], where, b is initial value and m is slope.
Population of minnow after x years would be [tex]y=100+10x[/tex].
Graphing both equations, we will get our required graph as shown in the attachment.
Since both graphs intersect at [tex]x=13.5[/tex], therefore, in the 13.5 years both populations will approximate the same.
