at lunch, kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich…

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?\n490x + 700y < 4000\n490x + 700y ≤ 4000\n490x + 700y > 4000\n490x + 700y ≥ 4000

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?\n490x + 700y < 4000\n490x + 700y ≤ 4000\n490x + 700y > 4000\n490x + 700y ≥ 4000

Answer

Answer:

B. $490x + 700y\leq4000$

Explanation:

Step1: Calculate sodium from burritos

Each burrito has 490 mg of sodium, so $x$ burritos have $490x$ mg of sodium.

Step2: Calculate sodium from sandwiches

Each peanut - butter sandwich has 700 mg of sodium, so $y$ sandwiches have $700y$ mg of sodium.

Step3: Determine the inequality

The total sodium intake from burritos and sandwiches should be no more than 4000 mg. "No more than" means less than or equal to. So the inequality is $490x + 700y\leq4000$.