a) The exponential function that models the number of cells is:
b) There will be 1292 cells after 10 hours.
<h3>What is an exponential function?</h3>An increasing exponential function is modeled by:
In which:
- A(t) is the amount after t hours.
- A(0) is the initial amount.
- r is the rate of change, as a decimal.
- n is the time it takes to change.
For this problem, the parameters are:
A(0) = 200, r = 0.75, n = 3.
Hence the equation is:
The number of cells after 10 hours is:
A(10) = 1292.
More can be learned about exponential functions at brainly.com/question/25537936
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