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The area of undeveloped land in a suburban town is decreasing at a rate of 17.3% annually. In 2016, there were 3,400 acres of undeveloped land. If t represents the number of years since 2016, which equation can be used to determine after how many years the town will have 900 acres of undeveloped land remaining?


A)900 = 3,400(1.173)t

B)900 = 3,400(0.827)t

C)3,400 = 900(0.173)t

D)3,400 = 900(0.9827)t

Respuesta :

DeanR

Decreasing by 17.3 percent means every year it's multiplied by 1-0.173 =0.827.

[tex] 900 = 3400 (0.827^t)[/tex]

Choice B

shubhamchouhanvrVT

The equation which will represent the decreasing land will be equal to

3,400 = 900(0.173)[tex].^t[/tex].

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

  • The area of undeveloped land in a suburban town is decreasing at a rate of 17.3% annually.
  • In 2016, there were 3,400 acres of undeveloped land.
  • If t represents the number of years since 2016.
  • which equation can be used to determine after how many years the town will have 900 acres of undeveloped land remaining?

The equation will be calculated as:-

The decrease in the percentage every year will be multiplied every year by the total land so the equation will be represented as:-

3,400 = 900(0.173)[tex].^t[/tex].

Here 't' is the time in years.

Therefore the equation which will represent the decreasing land will be equal to 3,400 = 900(0.173)[tex].^t[/tex].

To know more about equations follow

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