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 leq 4000 )

( 490x + 700y geq 4000 )

( 490x + 700y > 4000 )

Explanation:

Step1: Analyze sodium from burritos

Each burrito (x) has 490 mg sodium, so total sodium from burritos is \( 490x \).

Step2: Analyze sodium from sandwiches

Each sandwich (y) has 700 mg sodium, so total sodium from sandwiches is \( 700y \).

Step3: Determine the inequality

Total sodium is \( 490x + 700y \), and it must be no more than 4000 mg (i.e., less than or equal to 4000). So the inequality is \( 490x + 700y \leq 4000 \).

Answer:

\( 490x + 700y \leq 4000 \) (the second option: \( 490x + 700y \leq 4000 \))