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alexandr402 [8]
3 years ago
9

The number of dolphins varied linearly with the number of fish. When 400 fish were present 250 dolphins appeared, and when 300 f

ish were present, 200 dolphins appeared. How many dolphins would appear if 250 fish were present?
Mathematics
1 answer:
melomori [17]3 years ago
7 0

Answer:

125 Dolphins

Step-by-step 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

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