Researchers propose a model to explain variation in phytoplankton cell sizes in a marine environment. They base their model on the idea that smaller cells absorb nutrients more efficiently. The researchers predict that the mean diameter of phytoplankton cells will change by 50 micrometers for every 5-kilometer increase in distance from the shore because of a gradual decrease in nutrient availability. To test their model, the researchers determine that the phytoplankton cells found closest to shore have a mean diameter of 900 micrometers. Based on the model, what will be the mean diameter of the phytoplankton cells that are found 25 kilometers from shore?

The mean diameter of  phytoplankton cell is 650 micrometers at a distance of 25 kilometers from the sea shore.

The mean diameter of  phytoplankton cell is 650 micrometers because at every 5 kilometers, decrease occur in the diameter of phytoplankton cell about 50 micrometers and we know that the the diameter of phytoplankton cell is 900 micrometers so for 25 kilometers there is 250 micrometers decrease occur in the diameter of phytoplankton cell.

So this 250 micrometers are substracted from 900 micrometers we get 650 micrometers. So we can say that the mean diameter of  phytoplankton cell is 650 micrometers at 25 kilometers distance from the sea shore.

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