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The population of Arlington High School can be modeled using the equation P(t)=3,500(1.027)^t , where t represents the number of years since 2010. Is the population of Arlington High increasing or decreasing? Explain how you can tell using the equation. What would the population be after 29 years?

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Answer:

It is increasing because the rate (1.027) is greater than one. In 29 years the population will be about 7579

Step-by-step explanation:

The population of Arlington High is increasing. Then the population of Arlington High school after 29 years will be 7579.

What is an exponent?

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

The population of Arlington High School can be modeled using the equation

[tex]\rm P(t)=3,500(1.027)^t[/tex]

Where t represents the number of years since 2010.

The population of Arlington High is increasing. Because b > 1.

Then the population of Arlington High school after 29 years will be

P(27) = 3500 (1.027)²⁹

P(27) = 7578.98

P(27) ≈ 7579

More about the exponent link is given below.

https://brainly.com/question/5497425

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