Question

The height a plant grew varied directly with the number of days the plant was exposed to sunlight. What is the equation for this direct variation?

A) y = 1.09x
B) y= 1.09 + x
C) y = x - 1.09
D) y = 1.09/x

Answer 1

A.y=1.09x

Explanation:

Answer 2

Days exposed to sunlight: 3 4 5 6
Height in inches: 3.27 4.36 5.45 6.54

Days exposed to sunlight is the x in the equation. While height is the y in the equation. K is the constant of variation.

y = kx ; k = y/x

3.27 / 3 = 1.09
4.36 / 4 = 1.09
5.45 / 5 = 1.09
6.54 / 6 = 1.09

The equation for the direct variation is: y = 1.09x CHOICE A.