A cell phone company is looking to place a new tower to service 3 cities. In order for it to best service each city, it needs to
be equidistant from all 3 cities. What mathematical concept could they use to find a location that is equidistant from all 3 cities? Why is this a good method?
A circle is a collection of points all of which are on the circumference of the circle. If you use algebra and (x-h)^2 + (y-k)^2 = r^2 and the info contained in the coordinates (x,y) of each city, you can find h, k and r. Then r is the (equal) distance between each city and the center of the circle, where the new tower will be built.
The word problem describes two relationships between the numbers of cookies baked. When b and f represent the numbers of cookies baked by Bill and Felicia, respectively, those relationships are ...
Bill bakes 3 times as many cookies as Felicia. (b = 3f)
Felicia bakes 24 fewer cookies than Bill. (f = b-24)
