7
QuizMultiple Choice

Modeling with Two-Variable Linear Inequalities — Quiz

Question 7 • Mathematics I

Dan bought x pounds of potatoes for 0 point 8 5 dollars per pound and y pounds of grapes for 1 point 2 9 dollars per pound. The total cost was less than 5 dollars Which inequality represents his purchase?

Answer
A
1 point 2 9 x plus 0 point 8 5 y is greater than 5
B
0 point 8 5 x plus 1 point 2 9 y is less than 5
C
1 point 2 9 x plus 0 point 8 5 y is less than 5
D
0 point 8 5 x plus 1 point 2 9 y is greater than 5

Explanation

Potatoes cost $0.85 per pound, so x pounds cost 0.85x dollars. Grapes cost $1.29 per pound, so y pounds cost 1.29y dollars. Since their combined cost is less than $5, the inequality is 0.85x + 1.29y < 5, which is choice B.

AI-written and checked against the verified answer.

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