Translate The Following Into Mathematical Statement., 1. The Number R Of Revolution Per Minute Of A Gear Meshed To Another Varies Inversely, As The Nu

Translate the following into mathematical statement.

1. The number R of revolution per minute of a gear meshed to another varies inversely
as the number T of the teeth in the gear.
2. The number M of men required to do a specific job varies inversely as the hours
required to do the job.
3. The resistance (R) of wires varies inversely as the square of its diameter (D).
4. The variable x varies inversely as the square root of y.
5. The variable a varies inversely as the cube root of y.

Inverse Proportion:

Answer:

1. R = k/T

2. M = k/h

3. R = k/(D)^2

4. x = k/√y

5. a = k/∛y

Step-by-step explanation:

1. Let R represents the revolution per minute of a gear meshed to another and T be the number of teeth in a gear since they are inversely proportional then, there is a constant represented by k. Thus, R = k/T.

2. Let M represents the number of men required to do the job and h be the number of hours needed to finish the job. Since they are inversely proportional, there is a constant that is represented by k. Thus, M = k/h.

3. Let R represents the resistance of wires while D represents the diameter. since they are inversely proportional, there is a constant that is represented by k then R = k/D^2.

4. Given that x varies inversely with the square root of y then, x = k/√y.

5. Given that a varies inversely as the cube root of y then, a = k/∛y.

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