Modeling with Two-Variable Linear Inequalities — Quiz
Question 6 • Mathematics I
At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4 comma 000 milligrams per week. Which inequality represents x , the number of microwave burritos, and y , the number of peanut butter sandwiches, she can eat each week?
Answer
A
490 x plus 700 y is greater than 4000
B
490 x plus 700 y is less than 4000
C
490 x plus 700 y is less than or equal to 4000
D
490 x plus 700 y is greater than or equal to 4000
Explanation
Each burrito contributes 490 milligrams of sodium, so x burritos contribute 490x. Each sandwich contributes 700 milligrams, so y sandwiches contribute 700y. Together, they must contain no more than 4,000 milligrams per week, which means 490x + 700y ≤ 4,000. Choice C says this total is less than or equal to 4,000.
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