Brittany and Taylor ran a race. If t represents the amount of miles Taylor ran and b represents the amount of miles Brittany ran, which situation BEST represents the equation below? b = 5t A. Brittany's distance is five miles less than Taylor

B. Brittany's distance is five times farther than Taylor

C. Brittany finished the race 5 minutes before Taylor

D. Brittany ran the race slower than Taylor

We can affirm that situation B. Brittany's distance is five times farther than Taylor, is the BEST that represents the equation b = 5t.

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Amount of miles ran by Taylor = t

Amount of miles ran by Brittany = b

b = 5t

2. Now, let's find the situation that BEST represents the equation.

As we can notice, no information about time was provided. We don't know how long Brittany or Taylor or both took to finish the race, who arrived first or who arrived last. That's why we immediately can discard situations C and D. We don't have any clue to know who was faster or slower.

Now, option A is also difficult to prove because we don't know how many miles was the race or how many miles Brittany or Taylor finally ran. The only information we're sure is that the total of miles ran by Brittany is five times the distance ran by Taylor. Let's use a couple of real options to see what happened in the race.

Let's assume b = 5 (Brittany ran 5 miles), then:

b = 5t

5 = 5t = 5/5 = t

t = 1 (Taylor ran 1 mile)

Interpretation: If Brittany ran 5 miles, Taylor just ran one mile.

Let's assume b = 10 (Brittany ran 10 miles), then:

b = 5t

10 = 5t = 10/5 = t

t = 2 (Taylor ran 2 miles)

Interpretation: If Brittany ran 10 miles, Taylor just ran two miles. For any value of b, it always will be 5 times bigger than t.

Now, we can affirm that situation B. Brittany's distance is five times farther than Taylor, is the BEST that represents the equation b = 5t.