The population of wild horses in a particular country t years after the year 2000 can be modeled by the function h(t)=45, 495 (0. 89)t. By approximately what percent is the population decreasing each year?

Answers

Answer 1

By approximately 12.36% is the population decreasing each year.

The population of wild horses in a particular country t years after the year 2000 can be modeled by the function h(t) = 45, 495 (0. 89)t.

Formula to calculate percent decrease is :

Percent decrease = (Original value − New value)/Original value × 100

As we have to calculate approximately what percent is the population decreasing each year, we need to calculate the percent decrease in population .

Using the formula:

h(t) = 45, 495 (0. 89)t .

Substituting t = t + 1h(t + 1) = 45,495(0.89)t+1

Percent decrease in population = (h(t) - h(t + 1))/h(t) × 100= ((45,495(0.89)t) - (45,495(0.89)t+1))/(45,495(0.89)t) × 100= 0.89 - 0.89(0.89)t/0.89t × 100= (0.11/0.89t) × 100= 0.1236t

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