The area ar (in square meters) of a circular algae colony with radius r meters is given by =arπr2. the radius mt (in meters) after t minutes is given by =mt103t. write a formula for the area zt (in square meters) of the algae colony after t minutes. it is not necessary to simplify.

Step-by-step explanation:

We have been given that the area (in square meters) of a circular algae colony with radius r meters is given by . The radius (in meters) after t minutes is given by . We are asked to write the formula for the area (in square meters) of the algae colony after t minutes.  

This problem is based on composite functions, in which function represents radius of circle after t minutes.

To write the formula for the area (in square meters) of the algae colony after t minutes, we need to substitute in area formula .

Therefore, our required formula would be .

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step-by-step explanation:

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