Question

Which of the following describes the function shown in the table below?

Answer 1

The answer is B, the Y is decreasing less and less while the X values stay constant

Answer 2

B

Explanation:

Exponential function:
`y = e^(kx)`, where k is a constant. Taking natural logarithm in both sides:

`y = e^(kx) => ln \, y = ln (e^(kx)) => ln\, y = kx \, ln\, e => (ln\, y)/(x) = k`

In figure attached the constant k is obtained. In conclusion, the function is exponential with constant rate of decay.