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?

Answer 1

490*x + 700*y ≤ 4000

It is ≤ as it can either be equal to 4000 per week or less than.

Footnote: Burritos are awesome

Answer 2

Let

x------> the number of microwave burritos

y----->  the number of peanut butter sandwiches

we know that

$490x+700y \leq 4,000$ -----> inequality that represent the situation

Using a graphing tool

The solution is the shaded area

see the attached figure

therefore

the answer is

$490x+700y \leq 4,000$