Unfortunately, the image mentioned in your question is missing, so I am unable to assess the functions graphed. However, I can provide you with a mathematical representation of the population decline.
To model the population decline, we can use the exponential decay function, which is given by:
P(t) = P₀ * (1 - r)^t
Where:
- P(t) represents the population at time t
- P₀ is the initial population
- r is the rate of decline (expressed as a decimal)
- t is the time in years
Since the herd currently has 72 zebras, we can substitute P₀ = 72. The rate of decline is given as 4%, so we have r = 0.04.
Therefore, the correct function to model the zebras' population decline is:
P(t) = 72 * (1 - 0.04)^t
However, without the image, I can't determine if one of the four functions is a precise representation of the population decline.
A herd of zebras is declining at a rate of 4% each year. The herd currently has 72 zebras. Of the four functions graphed in the image, which correctly models the population in decline?
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