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

  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)

the answer is d. 75%

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2