The greatest distance covered by the camera is 4 feet.
Step-by-step explanation:
It has been given in the question that one of the parking lot lights at a hospital has a motion detector which covers a boundary described by an equation
(x + 10)²+(y - 8)² = 16 = 4²
Since this equation is in the form of (x - a)² + (y - b)² = r²
It's a standard equation of a circle having center (h, k) and r as the radius.
So 4 feet is the maximum distance which camera can cover.
Since you need 10 loads you know that for 4 loads you use 32 gallons. And to go from 4 to 10 you divide 10 and 4 to get an answer of 2.5. So all you have to do is multiple 32 gallons by 2.5 to then get an answer of 80.
