SOLUTION: I don't know if I Can include links to photos, so i dont know how to include the graph here. But the question is Some bullfrogs were introduced into a small pond. The graph shows

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I don't know if I Can include links to photos, so i dont know how to include the graph here. But the question is Some bullfrogs were introduced into a small pond. The graph shows      Log On


   

Question 1102002: I don't know if I Can include links to photos, so i dont know how to include the graph here. But the question is
Some bullfrogs were introduced into a small pond. The graph shows the bullfrog population for the next few years. Assume that the population grows exponentially.
https://www.webassign.net/sprecalc6/4-6-012.gif
Find a function that models the bullfrog population t years since the bullfrogs were put into the pond. (Round your r value to four decimal places.)
(d) Estimate how long it takes the population to reach 97,000. (Round your answer to the nearest whole number.)

I dont understand how to get a function from a graph. The graph has the points (0,100) as the initial and then gives us the point (2, 225) as well.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
(The hyperlink you gave seemed to work.)


The two reported data points are enough to work with.

Model would use y=a%2Ab%5Ex and your two points from the graph are (0,100) and (2,225). x is time and y is population size.

The points each give an equation.
100=100%2Ab%5E0 not telling much;

225=100%2Ab%5E2, which lets you find value of b.