Linear function: Find the slope of the line segment that connects points (0,2) and (1,6). Use the "slope-intercept form of the equation of a straight line:"
y=mx + b. substitute your value for the slope, m. It just so happens that (0,2) is the y-intercept, so substitute 2 for b. Then write out y=mx+b.
Exponential function: Use the exponential function model y=y0e^(kx). You will need to determine the values of the initial value (y0) and the rate k.
first, look at the given point (0,2). Substitute 0 for x and 2 for y. This produces 2=y0e^0, so now you know that y0=the initial value=2.
Now write out y=y0e^(kt) again. Subst. 2 for y0, 6 for y and 1 for x.
This is enough info to enable you to find the value of k.
Then write out the general equation in the form y=y0e^(kt).
