6
QuizMultiple Choice

Use Exponential Functions

Question 6 • 25-26 CRX Math Models with Applications 7052A

From the table below, determine whether the data shows an exponential function. Explain why or why not. x36912y1248

Answer
A
No; the domain values are at regular intervals.
B
No; a different value is added to each range value.
C
No; there is no relationship between the x value and its corresponding y value.
D
Yes; the domain values are at regular intervals and the range values have a common factor 2.

Explanation

The x-values increase by equal intervals of 3: 3, 6, 9, and 12. For each increase of 3 in x, the y-value is multiplied by 2: 1, 2, 4, and 8. This consistent multiplicative change shows that the data follows an exponential pattern, so choice D is correct.

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