an athlete runs 8 miles from their house to the store on a path. the athlete then runs to a point m miles from their house on the same path. the athlete decides to finish the run by returning to the store. the athlete ran a total of 16 miles. formulate an absolute value equation to represent this situation. then solve the equation.

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.