Answer: 5 laps in 30 minutes
Step-by-step explanation: To solve this problem, our first step is to write down the unit ratio that is involved.
In this case, it's laps/minutes.
Next, we set up a proportion based on the information in the problem.
We know that Stephanie can run 1 lap in 6 minutes.
So we can set up the ratio 6/1.
We're asked how many laps she would run if she
has been running for 30 minutes.
So that's x/30.
Now, our proportion reads [tex]\frac{1}{6} = \frac{x}{30}[/tex].
Notice that the 30 minutes must go on the bottom in our second ratio because our unit ratio tells us that we put laps/minutes.
Solving from here, we use the means-extremes property.
The product of the extremes,
(1)(30) equals the product of the means, (6)(x).
So we have (1)(30) or 30 equals (6)(x) or 6x.
So 30 = 6x.
Dividing both sides by 6, 5 = x.
This means that Stephanie will have traveled 5 laps in 30 minutes.
