Algebraic Representations of Two-Variable Relationships

The tables show the relationship between x and y for each of two data sets. Which statements describe the relationship between x and y in each of the data sets?

• Both data sets show additive relationships.

  In Data Set I, y is 3 more than x, and in Data Set II, y is 4 more than x.

• Both data sets show multiplicative relationships.

  In Data Set I, y is 4 times x, and in Data Set II, y is 2 times x.

• Data Set I shows a multiplicative relationship in which y is 4 times x.

  Data Set II shows an additive relationship in which y is 4 more than x.

• Data Set I shows an additive relationship in which y is 12 more than x.

  Data Set II shows a multiplicative relationship in which y is 2 times x.

The tables show the relationships between x and y for two data sets. Which statements describe the relationships between x and y and Data Set I and Data Set II?

• Both data sets show additive relationships.

  In Data Set I, y is 5.5 more than x, and in Data Set II, y is 5 more than x.

• Data Set I shows a multiplicative relationship in which y is 5.5 times x.

  Data Set II shows an additive relationship in which y is 20 more than x.

• Both data sets show multiplicative relationships.

  In Data Set I, y is 5.5 times x, and in Data Set II, y is 5 times x.

• Data Set I shows an additive relationship in which y is 4.5 more than x.

  Data Set II shows a multiplicative relationship in which y is 5 times x.

Which situation can be represented by the equation Y equals 12 X?

• Victoria went to school for x years.

  This is 12 times y, the number of years her brother went to school.

• Victoria spent x dollars to buy a gift for her brother.

  She gave the cashier y dollars and received $12 and change.

• Victoria has y dollars.

  This amount is 12 times x, the amount of money in dollars Victoria's brother has.

• Victoria is y years old.

  Her age is 12 years greater than x, her brothers age in years.

Gabriela and her mother were born on the same day of the year. The table shows the relationship between g, Gabriella's age, and m, her mother's age. Which equation represents the relationship between g and m?

• m = 10g

• m = g + 27

• m = 3g

• None of these

The table shows the relationship between b, the number of slices of bread, and c, the total number of calories in the bread.

Which equation represents the relationship between b and c?

• c = 70b

• c = b + 70

• c = 140b

• c = b + 140

Which graph represents the relationship between x and y in the equation y = 3x?

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The table shows the relationship between r and s, where s is the independent variable.

Which equation represents the relationship between r and s?

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At a bookstore the total cost of six books is $45.00. Each book cost the same amount. Which table shows the relationship between the number of books bought and the total cost in dollars?

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• F

• G

• H

• J

• A/F

• B/G

• C/H

• D/J