Use the procedure for solving variation problems to solve the exercise. y varies jointly as a and b and inversely as the square root of c. y=16 when a=4, b=4, and c=4. Find y when a=5, b=3, and c=16

Situation                                                     Relation

1                                             Distance is not proportional to time.

2                                               Distance is proportional to time.        

3                                               Distance is proportional to time.

4                                                    Not much information.

Step-by-step explanation:

We are required to match the options to whether distance is proportional to time in the following situations.

1. A horse running around a race track.

Since, the horse is running around the race track. So, the speed of the horse can vary at different time

So, distance is not proportional to time.

2. A truck passing through 4 cities at a constant speed.

As, Distance = Speed × Time and we are given that the speed is constant.

So, distance is directly proportional to the time.

3. A dog jogging at a constant speed for 20 minutes.

As, Distance = Speed × Time and we are given that the speed is constant.

So, distance is directly proportional to the time.

4. A person running down a field to score a touchdown.

Since, there is no information about the speed of the person.

But, as the person is running to score a touchdown, he may run at a constant speed.

So, there is not much information.

Hence, we have,

Situation                                             Relation

1                                             Distance is not proportional to time.

2                                               Distance is proportional to time.        

3                                               Distance is proportional to time.

4                                                    Not much information.