According to this equation, a meerkat's expected lifespan in captivity is (A) 11.6 years.
So,l the predicted lifespan of the meerkat in captivity, according to the equation is:
The equation we have is: In(L) = 2.468 + 0.2 In(M)
We know that: M = 0.9
Now, put M = 0.9 in equation as follows: In(L) = 2.468 + 0.2 In(0.9)
Taking the natural algorithm of 0.9 as follows:
In(L) = 2.468 + 0.2 × -0.1054
In(L) = 2.468 - 0.02108
In(L) = 2.22692
Now, taking exponents as follows:
L = e²°⁴⁴⁶⁹²
L = 11.553
Rounding off: 11.6
Therefore, according to this equation, a meerkat's expected lifespan in captivity is (A) 11.6 years.
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Complete question:
The typical lifespan for various mammal species in captivity (L) in years has been related to the average adult size (M) in kilograms according to the regression equation seen below. A typical adult Meerkat weighs about 0.9 kilograms. What is the predicted lifespan of a Meerkat in captivity, according to this equation? * 2 points
a. 11.6 years
b. 2.4 years
c. 14.1 years
d. 2.6 years
e. 28.8 years