A population of wolves in a county is represented by the equation P(t)=80(0.98)^t, where t is the number of years since 1998. What will be the number of wolves in the population in the year 2012?
.98^(2012-2008)=
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80*0.98^(4)=
To find the number of wolves in the population in the year 2012, we need to substitute the value of t into the equation P(t)=80(0.98)^t, where t is the number of years since 1998.
To determine the value of t for the year 2012, we need to calculate the number of years between 1998 and 2012.
1998 is the starting year, so the number of years between 1998 and 2012 is 2012 - 1998 = 14.
Now we can substitute this value of t into the equation P(t)=80(0.98)^t:
P(14) = 80(0.98)^14
To calculate this, we need to evaluate (0.98)^14:
(0.98)^14 ≈ 0.769
Now, we can substitute this value into the equation to find the number of wolves in the population in the year 2012:
P(14) = 80 * 0.769 = 61.52
Therefore, there will be approximately 61.52 wolves in the population in the year 2012.