Standard Form — Unit test

Question 5 • Q1 Mathematics 8

Which situation could best be represented by this linear equation? 2.75x + 3.25y = 215

Answer

Popcorn is 50 cents less expensive than pretzels. The variable x represents the number of pretzels sold and y represents the number of popcorn bags sold. The sales total was $215.

Pretzels cost 75 cents more than popcorn bags. The variable x represents the number of popcorn bags sold and y represents the number of pretzels sold. The sales total was $215.

There were 50 more popcorn bags sold than pretzels. The variable x represents the number of popcorn bags sold and y represents the number of pretzels sold. The sales total was $215.

Pretzels cost 50 cents less than popcorn bags. The variable x represents the number of pretzels sold and y represents the number of popcorn bags sold. The sales total was $215.

Explanation

In the equation, each pretzel represented by x contributes $2.75, and each popcorn bag represented by y contributes $3.25. The total sales are $215. Since pretzels cost 50 cents less than popcorn bags, this matches choice D.

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