Due to an increasing population, developed land in a region is increasing at a rate of 12% per year. if there are currently 8,500 square miles of developed land, which equation models the square mileage of developed land, y, after x year?

Step-by-step explanation:

Since the population keeps increasing as the land keeps being developed we can assume that the rate of growth is compounded annually. That being the case we can use the Exponential Growth Formula to solve this problem. The Formula would be the following,

Where :

Since we were given the rate and the initial area of land we can plug it into the equation .

So with this formula we can calculate the amount of developed land after x years.

I hope this answered your question. If you have any more questions feel free to ask away at .

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form