Chapter 9 Algebra Worksheet With Answers - Montville Township Public Schools Page 26
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31Study Guide and Review - Chapter 9
2
An equation that models the data is y = 3x
.
46.
SOLUTION:
Calculate the first differences.
Calculate the second differences.
Because neither the first difference nor the second differences are equal, the table does not represent a linear or
quadratic function. Compare the ratios of the y-values.
Calculate the ratios.
The ratios of successive y-values are equal. Therefore, the table of values can be modeled by an exponential
x
function. The equation has the form y = ab
. The constant ratio, or base, is 2. Use the ordered pair (1, 2) to find the
value of a.
x
x
An equation that models the data is y = 1 • 2
or y = 2
.
47.
SOLUTION:
Calculate the first differences.
Calculate the second differences.
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Page 26
Since the second differences are equal, a quadratic function models the data.
2
Write an equation for the function that models the data. The equation has the form y = ax
. Use the ordered pair (1,
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