A newly hatched channel catfish typically weighs about 0.3 grams. During the first 6 weeks of life, its growth is approximately 10% each day.

a. Write a model for the catfish's weights during the 1st six weeks?

b. What is the weight of the catfish at the end of 6 weeks?

Newborn = 0.3grams (3/10 of a gram). 10% of 0.3 each day growth = (0.10 * 0.3 = 0.03 grams per day) n = number of days

a. 0.3 gram (starting) + 1 day (0.03) = 0.33 gram after day 1

0.33 gram (start day 2) + (0.10)(0.33) = 0.33 + 0.033 = 0.363 grams after 2nd day.

nth day (n-1 value) + (0.10) (n-1 value) is the model

b. 6th week = 7 days * 6 weeks = 42 days

0.3 gram (starting) + (0.10)(42) = 0.3+ 4.2 = 4.5 grams.

whats the answer with out all of the work shown only answer needed

If I worked it out right, after 6 weeks (42 days), the channel catfish should weigh 4.5 grams. Part a was the model for the catfish's weight. Let me do it be hand to make sure the 4.5 grams is correct.

whats the answer to a

Answer to "a" is listed: nth day (n-1 value) + (0.10) (n-1 value) is the model equation.

Sorry I didn't make it clear enough for nth day, the model equation is above.

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