A newly hatched channel catfish typically weighs 0.3 grams. During the first 6 weeks of life, its growth is approximately exponential, increasing by about 10% each day. Find the weight at the end of four weeks. (Hint: Be sure to change the number of weeks to days before plugging into the formula!) Formula: A=C (1+r) t

0.53g

4.33g

16.43g

1.14g

Answer: second option 4.33 g

Explanation:

1) The formula is given: A = C (1+r) ˣ ↔ (I used x instead of t just do to limitations of the math editor. Keep in mind that here x is time in days.

2) r is the rate of increasing given: 10% = 10/100 = 0.1

3) C is the initial weight and A is the final weight after x (or t) days.

4) The equation leads to:

A = 0.3 (1 + 0.1) ˣ = 0.3 (1.1) ˣ

x = number of days = 7 * number of weeks = 7 * 4 = 28 days

4) Compute:

A = (0.3g) (1.1) ²⁸

A = 4.33g ← answer