SOLUTION: Ana run 15 kilometer in going to the park at a constant rate, it takes her 30 minutes to reach the park in time for her lesson/by direct variation

Question 992301: Ana run 15 kilometer in going to the park at a constant rate, it takes her 30 minutes to reach the park in time for her lesson/by direct variation
Answer by farohw(175) (Show Source): You can put this solution on YOUR website!

At a constant rate, distance (d) is 15 km and time (t) is 30 minutes where d and t are in direct variation of each other. In other words, the distance Ana runs varies directly with the amount of time she has been running. The formula will be d = kt, k is the constant.

Assuming you want to determine the distance travelled per minute, the constant ratio is:

k = distance travelled/time = 15 km/30 minutes = 0.5 km/minute.

Therefore, Ana travels 1/2 kilometer for every minute she runs.

Another way you can set up the problem through direct variation:

When d = 15, t = 30

d = kt --> 15 = 30k

15/30 = 30k/30 --> k = 1/2

Verify:
d = kt --> d = (1/2)t

15 = (1/2)*30 --> 15 = 15 is true.

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