Question 1134613

A scientist studied the number of bears in a certain area. In 2010, there were 42 bears, and in 2012, there were 67 bears. Based on a linear model, how many bears will be in that area in 2016?
<pre>Let 2010 be year 0. Then 2012 and 2016 are 2, and 6 years, respectively
We then get the 2 points, (0, 42) and (2, 67)
Applying the slope (m) formula using the 2 points above, we get: m, or slope = 12.5
We then get the following equation using the POINT-SLOPE formula, and the point (0, 42): {{{matrix(1,11, y - 42, "=", 12.5(x - 0), "=====>", y - 42, "=", 12.5x, "======>", y, "=", 12.5x + 42)}}}
{{{highlight_green(system(matrix(1,7, y, "=", 12.5(6) + 42, "=======>", y, "=", 75 + 42), matrix(1,9, "y,", or, number, of, bears, in, 2016, "=", 117)))}}} ------ Substituting 6 (number of years since 2010) for x