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emmasim
1 day ago
15

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
Mathematics
2 answers:
Inessa [8.9K]1 day ago
8 0

Answer:

The right choice is C.

Clear explanation:

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

This indicates the line passing through points (2,52) and (8,580).

For a linear function that goes through two points, the line's equation is

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

The function that passes through points (2,52) and (8,580) results in the necessary equation being

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 represents the y blades of grass existing in x in^2 of lawn.

Consequently, the accurate selection is C.

babunello [8.4K]1 day ago
4 0
Y - 52 = (580 - 52)/(8 - 2) (x - 2)
y - 52 = 528/6 (x - 2) = 88(x - 2)
y = 88x - 176 + 52
y = 88x - 124
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