Answer: After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.
Step-by-step explanation:
Given: Sharon is conducting research on two species of birds at a bird sanctuary.
The number of birds of species A is represented by the equation below,where S represents the number of birds, x years after beginning her research.
[tex]S=2^x+12[/tex]
The number of birds of species B is represented by the equation below,where S represents the number of birds, x years after beginning her research.
[tex]S=15x+35[/tex]
To plot the above function, first find points by which they are passing.
For species A, At x=0 , [tex]S=1+12=13[/tex]
At x=2 , [tex]S=2+12=14[/tex]
Similarly find more points and plot curve on graph.
For species A, At x=0 , [tex]S=0+35=35[/tex]
At x=2 , [tex]S=15+35=50[/tex]
Plot a line with the help of these two points.
Now, from the graph the intersection of curve (for A) and line (for B) is at (7,140) which tells that After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.