Question

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 x2+y2 <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?

Answer 1

What is left out from this problem, is that x and y are integers, otherwise there would be an infinite number of x-y coordinates.

Hint for this problem...x^2 + y^2 = 20 is a circle whose center is at the origin and radius is sqrt(20).

Answer 2

So x and y would each be a set of integers between 4 and -4?

Answer 3

well, yes. Again, we have to assume in this problem that x-y are integers. Why thats not included in this problem is beyond my understanding but I assume thats just the error from the author.

Answer 4

You can now sketch the situtation

Answer 5

thank you!

Answer 6

The actual sketch would have to go from - sqrt(20) to + sqrt (20), i.e. approx -4.5 to +4.5, with a center at the origin.

Answer 7

Welcome.