QuestionThe population of deer in a national forest has consistently increased by 5% each year. This year, thepopulation of deer is 5, 000. If the population increases at the same rate, what number of deer isexpected to be in the national forest next year?

Respuesta :

Answer:

5250 deer

Explanation:

We know that the deer population increases by 5% each year. This means That if we start with a population of 5000, then next year the population will be 100% + 5% = 105% of 5000.

Now, what is 105% of 5000?

The answer is

[tex]5000\times\frac{105\%}{100\%}[/tex]

[tex]=5250[/tex]

Hence, the deer population after one year will be 5250.

We can solve the same problem with a somewhat different approach.

We know that the deer population increases by 5% per year. Then what is the deer population next year if we start with 5000 deer?

Next year the population will have increased by 5%.

Now, what is 5% of 5000?

The answer is

[tex]5000\times\frac{5\%}{100\%}[/tex]

[tex]=250[/tex]

This means the population has increased by 250.

Therefore, the population next year is 5000 + 250 = 5250 deer.

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