Melons are spaced 1 meter apart in a square x-y grid. One plant is replaced by an irrigation sprayer. The sprayer covers those plants that satisfy the relationship x^2+y^2 < or equal to 20 meters, with the sprayer at (0,0). What are all the possible x coordinates of plants watered by this sprayer? What are all the possible y coordinates of plants watered by this sprayer? List the possible x-coordinates and the possible y-coordinates as separate sets, and sketch this situation. Is the relationship of x and y a function? Why?

Question

Mathematics

Max Dyer

29 December, 18:04

Melons are spaced 1 meter apart in a square x-y grid. One plant is replaced by an irrigation sprayer. The sprayer covers those plants that satisfy the relationship x^2+y^2 < or equal to 20 meters, with the sprayer at (0,0). What are all the possible x coordinates of plants watered by this sprayer? What are all the possible y coordinates of plants watered by this sprayer? List the possible x-coordinates and the possible y-coordinates as separate sets, and sketch this situation. Is the relationship of x and y a function? Why?

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Answers (1)

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Alondra Aguilar · Answer 1

The possible values for x and y is

x__y

-2 - 4

-1_-2

0_ 0

1_ 2

2_ 4

It is a function because no x value maps two different y values.

I will also say it not a function because

x^2+y^2< or equal to 20

2^2+2^2< or equal to 20

4+4

8

And

2^2+1^2

4+1

5

So here 2 for x works with different y values

So graph the table I gave given you and state that it is a function and write the reason