Find a linear equation in the form P = mt + b (y = mx + b), which gives the population, p, t years from 2010.
This scenerio is based on a population of 6,000 in the year 2010, and increases by 200ppl every year.
Please show the work too
To find the linear equation that gives the population, p, t years from 2010, we can start by determining the slope, m, and the y-intercept, b.
Given that the population in the year 2010 is 6,000, we can assign the coordinates (0, 6,000) to the equation.
We are also given that the population increases by 200 people every year. From this information, we can determine the change in population, or the slope, which is 200.
Using the slope-intercept form of a linear equation, y = mx + b, we can substitute the given values into the equation:
p = mt + b
p = 200t + 6,000
Therefore, the linear equation that gives the population, p, t years from 2010 is:
p = 200t + 6,000
This equation represents a population that starts at 6,000 in the year 2010 and increases by 200 people every year.