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Verizon [17]
2 years ago
13

Suppose a lake contains blue and green algae. The blue algae has an initial mass of 20 kg and doubles its mass every hour. The g

reen algae has an initial mass of 160 kg and grows at a constant rate of 0.20 kg per minute.
1) Which algae has a larger mass at 3 hours, in kilograms?

A) The blue algae has 12 kg more mass at 3 hours.
B) The green algae has 12 kg more mass at 3 hours.
C) The blue algae has 36 kg more mass at 3 hours.
D) The green algae has 36 kg more mass at 3 hours.

2) Which algae has a larger mass at 4 hours, in kilograms?

A) The blue algae has 56 kg more mass at 4 hours.
B) The green algae has 56 kg more mass at 4 hours.
C) The blue algae has 112 kg more mass at 4 hours.
D) The green algae has 112 kg more mass at 4 hours.
Mathematics
1 answer:
loris [4]2 years ago
6 0

Answer:  1) D

2) C

Step-by-step explanation:

1. The blue algae has an initial mass of 20 kg and doubles its mass every hour. Then after t hours, the mass of blue algae is

2. The green algae has an initial mass of 160 kg and grows at a constant rate of 0.20 kg per minute. Then after t hours (60t minutes), the mass of green algae is

Part I) At t=3:

The mass of green algae has 196-160=36 kg more mass at 3 hours.

Part II) At t=4:

The blue algae has 320-208=112 kg more mass at 4 hours.

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