Ask Your Teacher Oil spills from a tanker in the Gulf of Mexico and surfaces continuously at coordinates (x, y) = (0, 0). If oil spreads in a circular pattern for eleven hours and the circle's radius increases at a rate of 3 inches per hour, write an equation of the circle that models the range of the spill's effect.

Accepted Solution

Answer:Step-by-step explanation:The following is the equation the define a circle's circuference:[tex]r = (x+a)^{2}+(y+b) ^{2}[/tex]Where r is the radius. The circle center is defined by (a, b).We cause the oil spreads in a circular patter, with this equation we can define the oil spill, however, we need to make some considerations.First, we need to write down the coordinates of the Tanker continuously spill oil, which are:(x, y)= 0, 0Second, the oil is spreading by the minute, so the circuference is not constant, if the circuference is not constant then the radius it not. We are told the radius increases, constinuously, at a rate of 3 inches per hour. So, the Radius is the spill can be define like.Spill's Radius = Time in hours (T) * 3 inchesWith this we can device the equation for the spill.[tex]Spill'sRadius = (x+0)^{2}+(y+0) ^{2}[/tex][tex]11' * T = (x)^{2}+(y) ^{2}[/tex]This is the equation that defines the spill