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:

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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