Answer:
D
Step-by-step explanation:
In the data set in option D, the x-values are equally spaced, (i.e. [tex] \delta x = 1 [/tex], however, the x-value are not equally spaced. This rules out the possiblity of the data set in option D being a linear function.
To confirm if it's an exponential function, let's examine if the data set has a "constant multiplying factor", n, that takes us from one y-value to a successive y-value.
Thus:
What do we multiply ⅑ with that will give us the next successive y-value, 1?
Thus, let n be the constant multiplying factor we are looking for.
Therefore:
⅑ × n = 1
Solve for n. Multiply both sides by 9
n = 9.
If we multiply the second y-value which is 9, by 9, wwe will get the next successive y-value, which is 81.
This means the data set has a constant multiplying factor of 9.
Therefore, the data set in option D represents an exponential function.
