Question

Only hash channel catfish typically was about 0.06 g during the first six weeks of life at weight increase about 10% each day right a exponential model for the weight how much will the catfish gain weight after six weeks

Answer 1

3.225 gram

Explanation:

Given that :

Initial weight = 0.06g

Rate of increase, r = 10% = 0.1 per day

Weight gain after 6 weeks

For an exponential model. f(x)

f(x) = a(1 + r)^x

Where ; a = initial amount ; r = growth rate ; x = period

Our model becomes :

f(x) : 0.06(1 + 0.1)^x

f(x) = 0.06(1.1)^x

Number of days in 6 weeks = 6*7 = 42 = x

f(42) : 0.06(1.1)^42

= 3.285 gram

Hence, weight gain after 6 weeks :

(3.285 - 0.06) g = 3.225 gram