Andrew and Karleigh each run for 1 hour. Which statement explains who ran a greater distance?

Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of 1/10 mile per minute compared to Andrew's 1/12 mile per minute.

Answer: The one who ran at the greater Average Speed in 1 hour ran the greater Distance.

Step-by-step explanation:

Speed (S) is the ratio of the distance (D) covered to the time (t) taken.

That is, S = D/t

Suppose Andrew ran a distance D1 in 1 hour (3600 seconds) at a Speed, say S1, we have

S1 = D1/t

We can then say he ran a distance

D1 = t * S1

= 3600S1

Similarly, let's say Karleigh ran a distance

D2 = t * S2

= 3600S2

Let us compare these two, you will notice that the bigger number between S1 and S2 is going to determine the bigger number between D1 and D2.

Let's choose random numbers for S1 and S2 for clarity, say S1 = 5, S2 = 10

D1 = 3600 * 5

= 18000

D2 = 3600 * 10

= 36000

This makes D2 bigger than D1.

I hope this is clear.