Question

There are 52 blades of grass in 2 square inches of lawn. there are 580 blades of grass in 8 square inches of the same lawn. what equation models the y blades of grass found in x square inches of lawn?

Answer 1

Assume that y = kA + c, if the grass grows at a uniform density.

52 = 2k + c
580 = 8k + c
so, 528 = 6k
k = 88

So, we have y = 88A + c
52 = 176 + c
c = -124

y = 88A - 124