Two-Variable Linear Inequalities — Unit test

Question 2 • Algebra 2 - Semester 1 Pathways

In which context will the inequality 4x + 5y > 80 have only integers in its solution set?

Answer

when x represents prices, in dollars, of adult tickets and y represents prices, in dollars, of student tickets

when x represents weights, in pounds, of apples and y represents weights, in pounds, of oranges

when x represents time, in hours, spent babysitting and y represents time, in hours, working at a bakery

when x represents the number of cats and y represents the number of dogs

Explanation

The inequality has only integer solutions in a context where both variables must be whole-number counts. The number of cats and the number of dogs can only be whole numbers, so x and y are integers. Prices, weights, and time can include fractional amounts, so those contexts do not ensure integer values.

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