Today we continued talking about exponential growth, including the rule of 70 which is a way to estimate the doubling time.
Today we reviewed linear equations. There are two main ways to write linear equations. The first is:
\[ y = m x + b \text{ (slope-intercept form)}\]
where \(x\) and \(y\) are the input and output variables and \(m\) is the slope and \(b\) is the \(y\)-intercept. The second form is:
\[y-y_0 = m (x-x_0) \text{ (point-slope form)}\]
where \((x_0,y_0)\) are the coordinates of any point the line passes through and \(x, y, m\) are the same as the other formula. You should be comfortable working with these two formulas and also know how to switch from point-slope form to slope-intercept form. We did this workshop which applies these formulas:
We spent a little more time looking at linear models which are linear equations applied to real world situations.