Mira's walkie-talkie has a range of 1 mile. Mira is traveling on a straight highway and is at mile marker 102. Identify the absolute-value equation and solution to find the minimum and maximum mile marker from mile marker 102 that Mira's walkie-talkie will reach.
Assume the straight highway is along the x-axis. Then the accessible locations of the walkie-talkie are defined by a circle of radius 1, centred on (102,0), as follows: (x-x0)^2+(y-y0)^2=r^2 (x0,y0) is the centre of the circle = (102,0) r=radius of range of equipment=1 so equation is (x-102)^2+y^2<=1 in absolute-value form: |x-102|<=|sqrt(1-y^2)| where y is distance of any point from the highway.
