These tables of values represent continuous functions. In which table do the values represent an exponential function?

A

Step-by-step explanation:

An exponential function can be written as y = a * bˣ . This means that there is a common ratio, b, between each number.

For A, the ratio between the first and second number is 8/2 = 4, the ratio between the second and third is 32/8 = 4, and so on. This seems correct, but we can check the other tables to make sure.

For B, the ratio between the first and second number is 34/14 ≈ 2.4 and the ratio between the second and third number is 54/34 ≈ 1.6 . These are not equal, so B is incorrect

For C, the ratio between the first and second number is 8/2=4 and the ratio between the second and third number is 14/8 = 1.75 . These are not equal, so C is incorrect

For D, the ratio between the first and second number is 5/4 = 1.25 and the ratio between the second and third number is 6/5 = 1.2 . These are not equal, so D is incorrect