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?

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

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42