Question

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

Answer 1

Answer:

$y=\frac{5}{4} x+4$

Step-by-step explanation:

Using y = mx+c

m= $\frac{y^{2}-y^{2}}{x^{2}-x^{1}}$

m=$\frac{14-9}{8-4}$

m=$\frac{5}{4}$

c=y-intercept

The question says that at 8 weeks the maple had grown 14 inches

By using y=mx+c we can find the y-intercept using one of the points as the x and y values and by using the slope

$14=8\times\frac{5}{4} +c$

14=10+c

14-10=10+c-10

4=c

y-intercept = 4

Therefore the full equation is

$y=\frac{5}{4} x+4$