To analyze how many more grams of chlorophyll are present in different water samples taken at different times after an algal bloom, let's break down the problem step-by-step:
1. Identify Chlorophyll Concentration:
- At 15 days after the algal bloom, the chlorophyll concentration is 80 grams per liter.
- At 45 days after the algal bloom, the chlorophyll concentration is 16 grams per liter.
2. Identify Sample Sizes:
- For the sample taken at 15 days, the sample size is 5 liters.
- For the sample taken at 45 days, the sample size is 9 liters.
3. Calculate the Amount of Chlorophyll in Each Sample:
- For the 15-day sample:
- Amount of chlorophyll = concentration sample size
- Amount of chlorophyll = 80 grams/liter 5 liters
- Amount of chlorophyll = 400 grams
- For the 45-day sample:
- Amount of chlorophyll = concentration sample size
- Amount of chlorophyll = 16 grams/liter 9 liters
- Amount of chlorophyll = 144 grams
4. Calculate the Difference in Chlorophyll Amounts:
- Difference = amount in 15-day sample - amount in 45-day sample
- Difference = 400 grams - 144 grams
- Difference = 256 grams
Therefore, there are 256 more grams of chlorophyll in a 5-liter water sample taken 15 days after the algal bloom begins compared to a 9-liter sample taken 45 days after the algal bloom begins.
