Final answer:
The formula for the area Z(t) of the algae colony after t minutes depends on the specific growth pattern of the algae. More information is needed to provide an accurate formula.
Step-by-step explanation:
The formula for the area Z(t) of the algae colony after t minutes can be determined using the information provided. However, since the specific equation for algae growth was not mentioned, I cannot provide the exact formula. Please provide more details about the growth pattern or any additional information you have, so I can help you further.