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

we are given with the data of 490 milligrams of sodium content of burrito and 700 milligrams of sodium content of peanut butter sandwich. The total sodium consumption should be less than 4000 milligrams. We are told to represent he number of microwave burritos as x and the number of peanut butter sandwiches as y. The inequality equation thus is 490 x + 700 y ≤ 4000.

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JeanaShupp JeanaShupp · Answer 2 · 2019-07-05T18:35:33+02:00

Answer: [tex]490x+700y\leq4000[/tex]

Step-by-step explanation:

Given : The amount of sodium in a burrito = 490 milligrams

The amount of sodium in a peanut butter sandwich = 700 milligram

Let the number of microwave burritos represented she eats each week by x and the number of peanut butter sandwiches she eats each week represented by y.

Then , the total amount of sodium consume by Kira in a week:-

[tex]490x+700y[/tex]

Since , her doctor told her to reduce her sodium to no more than 4,000 milligrams per wee.

Then , the required inequality will be :-

[tex]490x+700y\leq4000[/tex]