I need help solving this problem

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Step-by-step explanation:

a) The relation between y and t is

b) y(6) = 19.8 mm^2

Step-by-step explanation:

The question is incomplete: "The area covered by a certain population of bacteria increases according to a continuous exponential growth model. Suppose that a sample culture has an initial area of 8.6 mm^2 and an observed doubling time of 5 days. (a)Let be the time (in days) passed, and let y be the area of the sample at time . Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. (b)What will the area of the sample be in 6 days?

As the area covered increases according to a continous growth model, we start with these relation:

We know that the initial area y(0) is 8.6. Then:

We also know that the area duplicates after 5 days.

Then, the model becomes:

b) We have to calculate y(6)