Question

will likes two brands of healthy breakfast cereal. in superfiber cereal, there are 5 grams of fiber in one cup. in fiber oats cereal, there are 4 grams of fiber in one cup. let ( x ) represent the number of cups of superfiber will ate this week and let ( y ) represent the number cups of fiber oats he ate this week. which inequality represents the situation if the cereal will ate this week contained at least 30 grams of fiber?

( 5x + 4y leq 30 )

( 4x + 5y geq 30 )

( 5x + 4y geq 30 )

( 4x + 5y leq 30 )

Explanation:

Step1: Determine fiber from each cereal

Superfiber has 5g per cup, \( x \) cups: \( 5x \) grams.
Fiber Oats has 4g per cup, \( y \) cups: \( 4y \) grams.

Step2: Set up the inequality

Total fiber is \( 5x + 4y \). "At least 30" means \( \geq 30 \).
Thus, \( 5x + 4y \geq 30 \).

Answer:

\( 5x + 4y \geq 30 \) (the third option)