Question

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 4,000 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?

490x + 700y < 4000
490x + 700y ≤ 4000
490x + 700y > 4000
490x + 700y ≥ 4000

Answer 1

490x + 700y ≤ 4000

Explanation: each burrito adds 490 mg and each sandwich 700 mg, and the weekly total must be no more than 4000 mg, so 490x + 700y ≤ 4000 (with x,y ≥ 0, typically integers).