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36

Step-by-step Answer
PAGE: 589SET: ExercisesPROBLEM: 36
Please look in your text book for this problem Statement

Observe the table:

The ordered pair are .

Find the first differences of -values in the ordered pair.

Since the first differences are not all equal .

Hence the table of values does not represent a linear function.

Find the second differences of -values in the ordered pair.

Since, the second differences are not all equal,

Hence the table of values does not  represent a quadratic function.

Find the Ratios of the -values in the ordered pair and compare.

The ratios of successive -values are equal.

Therefore, the table of values can be modeled by an exponential function.

Write an equation for the function.

The equation is in the form of .

The constant ratio is .

Therefore the exponential equation is .

Find the value of .

Let the ordered pair is .

           (Exponential equation)

           (Substitute in the equation)

               (Multiply)

          (Divide each sude by )

                 (Cancel common terms)

Write an equation.

          (Substitute in the eqation)

An equation that models the data is .

The table of values represents an exponential function .



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