Alyssa is an ecologist who studies the change in the fox population of the Arctic circle over time. She observed that the population loses \dfrac{1}{18} 18 1 start fraction, 1, divided by, 18, end fraction of its size every 222 months. The population of foxes can be modeled by a function, PPP, which depends on the amount of time, ttt (in months). When Alyssa began the study, she observed that there were 185{,}000185,000185, comma, 000 foxes in the Arctic circle. Write a function that models the population of the foxes ttt months since the beginning of Alyssa's study.

Step-by-step explanation:

This is a exponential modelling problem.

The population looses 1/18th of it every 2 months.

That in decimal is:

1/18 = 0.0556

in percentage, 5.56% lost every 2 months

So, remaining:

100 - 5.56 = 94.44%

in decimal that is

0.9444 (to 4 decimal)

Now, the equation modeled would be in the form:

Where

C is the initial amount (185,000)

I is the factor that we decrease by (we found to be 0.9444)

n is the months it decreases by that factor (so, n = 2 cuz every 2 months)

Now we substitute and write the exponential model equation:

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6