Question

The students are running a pony ride business. They are trying to decide where to stake the pony so that the pony can't reach the fence or trample a rose bush.

This grid represents the customer’s yard http://gyazo.com/60683e299571189f5b91cf49f297b933
1.) David thinks the stake should be place at (10,10)
If they stake the pony where David wants, what is the equation of the circle that represents the pony’s path?
2.) Does the rose bush lie on this circle? Use algebra to show your answer
3.) Joy thinks the stake should be placed at 8,8, what's the equation of the circle representing The Ponys Path?
4.) Does the rose bush lie on this circle? Use algebra to show your answer
5.) If the pony is staked at the point (8,8), will the pony’s path be interrupted by the fence? Use algebra to explain your answer
6.) Who was correct? Is either point (10,10) or (8,8) a good place to stake the pony?
7.) Consider the circle with equation (x – 12)2+(y – 12)2=100.


a) What is the center of this circle? (1 point)








b) Would this circle work for the pony’s path? Why or why not? Use algebra to show your answer. (2 points)