Question

The population of Luis's city in 2005 was 7400 and the population in 2010 was 9000. Let x represent the number of years since 2005. Write a linear equation, in slope-intercept form, to find the population, y, at a year since 2005, x, where y is in thousands?​

Answer 1

Answer:

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Step-by-step explanation:

The linear equation is; y = 320x + 7400 Step-by-step explanation: Here, we want to write a linear equation that represents the population y at a year since 2005 To write this, we need points Initially, we have (0,7400) Since the difference between 2005 and 2010 is 5, the second point will be (5,9000)

Mathematically, we can get the slope as follows; m = (y2-y1)/(x2-x1) = (9000-7400)/ (5-0) 1,600/5 = 320 The equation of the line can be represented using the general form as; y = mx + b where m is 320 and b is unknown So we have the equation as;

y = 320x + b we need to get b To get b, we can use any point let us use the point (0,7400) substituting this; 7400 = 320(0) + c c = 7400 so the equation is;