We need to identify the equation of the graph given.
This graph corresponds to a translation of the graph described as:
Comparing the graph given with the one above, we can see it was shifted 4 units to the left.
When we translate the graph of a function f(x) d units to the left, it is transformed as:
We know that the population is declining at a rate of 14% per year.
The expression is:
N ( x ) = 206 * ( 0.86 ) ^ x
where x stays for years.
If we want to find the rate at which the population is declining per month we have to find:
And 0.9875 ≈ 0.99
There are 12 months in a year so the exponent is: x/12
Answer:
b. ( .99 ) ^ x/12