Examples of everyday quantiries that vary indirect proportion
Answers
suppose Jesse is driving from his house to a friend's house that lives 15 miles away. The time it takes for Jesse to travel those 15 miles goes up the slower he drives, and it goes down the faster he drives. The inverse variation formula for this scenario would be as follows:
t=15rt=15r
In this formula, t is the time it takes Jesse to get to his friend's house when driving r miles per hour. For example, if Jesse drives 60 miles per hour, then the time it takes him to get to his friends is t=1560=0.25t=1560=0.25 hours, so it would take him 15 minutes to get to his friend's if he drives 60 miles per hour. However, if Jesse drives 30 miles per hour, the the time it would take him would be t=1530=0.5t=1530=0.5 hours, so it would take him half an hour, or 30 minutes, to get to his friend's. We see that as his rate increases, the time decreases, and as his rate decreases, the time increases. Therefore, the time varies inversely with the rate.