The variable c varies directly with a and inversely with b, and c = 3/20 when a = 2 and b = 5.

The constant variation is K =

Answer: k = 200/3

Step-by-step explanation:

If a variable, a varies directly with a variable, c, it means that as a increases, c increases and as a decreases, c decreases.

Also, If a variable, a varies inversely with a variable, b, it means that as a increases, b decreases and as a decreases, c increases.

The variable c varies directly with a and inversely with b. We would introduce a constant of variation, k. Therefore

a = kc/b

If c = 3/20 when a = 2 and b = 5, then

2 = (k * 3/20) / 5 = 3k/100

Cross multiplying, it becomes

3k = 100 * 2 = 200

k = 200/3

Answer: k=3/8 c=3/40

Step-by-step explanation:

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