A vine maple grows fast when it is planted under the cover of cedar trees. One month after it is planted it has grown 12 inches,

Question

3 years ago

11

and after eight weeks it had grown 19 inches. Write an equation that models the growth, in inches, of the vine maple as a function of time, in weeks.

1 answer:

Goshia [24] · Answer 1 · 2022-04-23T10:05:16+03:00

Answer:

y = (7/4)(x -4) +12

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)