Answer:
C
Step-by-step explanation:
The function of table A can be written as ...
y = 100x -92
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The function of table B can be written as ...
y = 10x +446
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The function of table C can be written as ...
y = (5/3)·3^x
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The function of table D can be written as ...
y = 2x +413
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The exponential function of Table C will have the largest y-values for any value of x greater than 6.
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Comment on the functions
When trying to determine the nature of the function, it is often useful to look at the differences of the y-values for consecutive x-values. Here, the first-differences are constant for all tables except C. That means functions A, B, D are linear functions.
If the first differences are not constant, one can look at second differences and at ratios. For table C, we notice that each y-value is 3 times the previous one. That constant ratio means the function is exponential, hence will grow faster than any linear function.
