Chapter 9 Algebra Worksheet With Answers - Montville Township Public Schools Page 25
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31Study Guide and Review - Chapter 9
Because the side length cannot be negative, the solution is 4. So, the side length of the square is 4 inches.
Look for a pattern in each table of values to determine which kind of model best describes the data.
Then write an equation for the function that models the data.
45.
SOLUTION:
First differences:
Second differences:
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,
3) to find the value of a.
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.
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Page 25
The ratios of successive y-values are equal. Therefore, the table of values can be modeled by an exponential
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