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?
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.