Karen is training for her upcoming track meet. She makes 3 practice runs in a 1.5 hour time period. She runs 3/4 the distance of each of previous run. If she ran 5 miles on the first run, how far will she go on her third run?

Answer:She will go 2.8125 miles in her third runStep-by-step explanation:- Karen is training for her upcoming track meet- She makes 3 practice runs in a 1.5 hour time period- She runs [tex]\frac{3}{4}[/tex] the distance of each of previous run- If she ran 5 miles on the first run, how far will she go on her third run- Assume that she will run x miles in her 1st run∵ The distance of the 1st run is x∵ She runs [tex]\frac{3}{4}[/tex] the distance of each of previous run∴ The distance of her 2nd run is [tex]\frac{3}{4}x[/tex]∴ The distance of her 3rd run is [tex]\frac{3}{4}[/tex] ([tex]\frac{3}{4}x[/tex])∴ The distance of her 3rd run is [tex]\frac{9}{16}x[/tex]∵ She ran 5 miles on the 1st run- Substitute x by 5∴ The distance of her 2rd run =  [tex]\frac{3}{4}(5)[/tex]∴ The distance of her 2rd run = 3.75 miles∴ The distance of her 3rd run =  [tex]\frac{9}{16}(5)[/tex]∴ The distance of her 3rd run = 2.8125 miles* She will go 2.8125 miles in her third run