The equation is .

Where represents the nutrient content of the food and consumer.

Consider . \ \

Integrate on both sides.

Take exponential function on both sides.

Therefore, the function is . \ \

(b)

The function is .

Substitute .

Therefore, the amount of nutrient content of the food and consumer are directly proportional to each other.

Substitute .

Therefore, the amount of nutrient content of the food  is constant and does not depend on the consumer .

(a) The function is .

(b) When , the amount of nutrient content of the food and consumer are directly proportional to each other.

When , the amount of nutrient content of the food  is constant and does not depend on the consumer. \ \