These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?

  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.

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.

283 square feet

step-by-step explanation:

good luck