A boat washes up onto an island, introducing 25 rabbits into the environment. The rabbits multiply at a rate of 50 percent every month. Does this graph accuratly model the situation?
To accurately determine if the given graph accurately models the situation, we would need to see the graph and the data it represents. Without that information, we cannot make an accurate assessment.
This is called a "geometric sequence"
rabbits(n) = rabbits (n-1) * 1.5
Try searching "geometric sequence"
it will be curving upward starting at n (month) = 1, R (rabbits) = 25
I apologize for the misunderstanding. Yes, a geometric sequence, which represents exponential growth, can accurately model the situation of rabbits multiplying at a rate of 50 percent every month.
In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio. In this case, if we assume the number of rabbits in the first month (n=1) is 25, then the number of rabbits in the second month (n=2) would be 25 * 1.5, in the third month (n=3) it would be (25 * 1.5) * 1.5, and so on.
The graph of a geometric sequence representing this situation would indeed curve upward as the number of rabbits increases over time. Therefore, the given graph accurately models the situation of rabbit population growth.