Question

A sample contains 25 cells. The number of cells quadruples every hour. Does this represent an exponential function? Why or why not?

A. No; it has a constant difference.
B. No; it has a constant ratio.
C. Yes; it has a constant difference.
D. Yes; it has a constant ratio.

Answer 1

• D. Yes; it has a constant ratio

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The number of cells is 25.

Every hour it gets 4 times greater, so after x hours it becomes:

• C(x) = 25*4ˣ, where c(x) - number of cells after x hours

As we see it is an exponential function with the constant ratio of 4.

Therefore the matching option is D.