If a plant species has a seed dispersal distance of 50 meters, how far would see
Practice Questions
Q1
If a plant species has a seed dispersal distance of 50 meters, how far would seeds typically spread in 5 generations assuming the distance doubles each generation?
50m
100m
200m
1600m
Questions & Step-by-Step Solutions
If a plant species has a seed dispersal distance of 50 meters, how far would seeds typically spread in 5 generations assuming the distance doubles each generation?
Correct Answer: 1600m
Step 1: Start with the initial seed dispersal distance, which is 50 meters.
Step 2: Understand that the distance doubles each generation. This means in the first generation, the distance is 50 meters, in the second generation it will be 100 meters, in the third generation it will be 200 meters, and so on.
Step 3: Calculate how many times the distance will double in 5 generations. Since it doubles each generation, it will double 5 times.
Step 4: Use the formula for doubling: Initial distance * 2 raised to the power of the number of generations. Here, it is 50 meters * 2^5.
Step 5: Calculate 2^5, which equals 32.
Step 6: Multiply 50 meters by 32. So, 50 * 32 = 1600 meters.
Step 7: Conclude that after 5 generations, the seeds would typically spread 1600 meters.
Exponential Growth – Understanding how a quantity increases exponentially over multiple generations.
Doubling Sequence – Recognizing the pattern of doubling a value in a sequence.
Mathematical Operations – Applying multiplication and exponentiation to solve problems.
