Question

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

A) y=-88x-124
B) y=-88x+124
C) y=88x-124
D) y=88x+24

Answer 1

y - 52 = (580 - 52)/(8 - 2) (x - 2)
y - 52 = 528/6 (x - 2) = 88(x - 2)
y = 88x - 176 + 52
y = 88x - 124

Answer 2

Answer:

The correct option is C.

Step-by-step explanation:

It is given that there are 52 blades of grass in 2 in^2 of lawn and there are 580 blades of grass in 8 in^2 of the same lawn.

It means the line passing though the points (2,52) and (8,580).

If a linear function passing through two points then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The function passing though the points (2,52) and (8,580), so the required equation is

$y-52=\frac{580-52}{8-2}(x-2)$

$y-52=88(x-2)$

$y-52=88x-176$

$y=88x-176+52$

$y=88x-124$

The equation $y=88x-124$ models the y blades of grass found in x in^2 of lawn.

Therefore the correct option is C.