Emilie rides her bike x miles be for eshe gets a flat tire. She walks 1/3 mile to a bus stop and then takes a bus for 2 1/2 miles. Which expression shows how many miles Emilie travels in all?

Answer:
Option (B) is the answer.
Step-by-step explanation:
Emilie rides her bike x miles before it gets flat tire.
Distance she walked to a bus stop = [tex]\frac{1}{3}[/tex] mile
Then she took a bus and traveled the distance = [tex]2\frac{1}{2}[/tex] miles or [tex]\frac{5}{2}[/tex]miles
So, total distance covered by her = x + [tex]\frac{1}{3}+\frac{5}{2}[/tex] miles
= x + [tex]\frac{2+15}{6}[/tex] miles
= x + [tex]\frac{17}{6}[/tex] miles
= x + [tex]2\frac{5}{6}[/tex] miles
Therefore, expression that shows the total distance traveled by Emilie is (x + [tex]2\frac{5}{6}[/tex]) miles
Option (B) is the answer.