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The number of dolphins varied linearly with the number of fish. When 400 fish were present 250 dolphins appeared, and when 300 fish were present, 200 dolphins appeared. How many dolphins would appear if 250 fish were present?

1 Answer

8 votes

Answer:

125 Dolphins

Explanation:

The number of dolphins varied linearly with the number of fish.

The number of dolphins = D

The number of fish = F

Hence:

D ∝ F

D = kF

When 400 fish were present 250 dolphins appeared

Solving for k

250 = 400k...... Equation 1

Also

when 300 fish were present, 200 dolphins appeared.

200 = 300k...... Equation 2

So: we find k = Constant of Proportionality

250 = 400k...... Equation 1

200 = 300k...... Equation 2

We Subtract Equation 2 from Equation 1

50 = 100k

k = 50/100

k = 1/2

How many dolphins would appear if 250 fish were present?

D = kF

D = 1/2 × 250

D = 125 Dolphins

User Dmitry Mukhin
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