A vine maple grows fast when it is planted under the cover of cedar trees. One month after it is planted it has grown 9 inches, and after eight weeks it had grown 14 inches. Write an equation that models the growth, in inches, of the vine maple as a function of time, in weeks.
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Step-by-step explanation:
The rate of growth is …
(19 in -12 in)/(8 wk -4 wk) = 7/4 in/wk
Using this slope in a point-slope form of the equation for a line, we get …
y = m(x -h) +k . . . . . line with slope m through point (h, k)
y = (7/4)(x -4) +12 . . . . . line with slope 7/4 through the point (4 wk, 12 in)