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Sagot :
To determine the correct inequality that represents the situation with Will's cereal consumption, let's analyze the problem step-by-step:
1. Identify the Variables:
- Let [tex]\( x \)[/tex] represent the number of cups of Superfiber cereal Will ate this week.
- Let [tex]\( y \)[/tex] represent the number of cups of Fiber Oats cereal Will ate this week.
2. Determine the Amount of Fiber in Each Cereal:
- Superfiber cereal contains 5 grams of fiber per cup.
- Fiber Oats cereal contains 4 grams of fiber per cup.
3. Formulate the Total Fiber Consumed:
- The fiber from the Superfiber cereal is [tex]\( 5x \)[/tex] grams.
- The fiber from the Fiber Oats cereal is [tex]\( 4y \)[/tex] grams.
- Therefore, the total fiber consumed is [tex]\( 5x + 4y \)[/tex] grams.
4. Express the Condition with an Inequality:
- Will's fiber intake from the cereals this week must be at least 30 grams.
- This gives us the inequality: [tex]\( 5x + 4y \geq 30 \)[/tex].
Hence, the inequality that represents the situation if the cereal Will ate this week contained at least 30 grams of fiber is:
[tex]\[ 5x + 4y \geq 30 \][/tex]
So, the correct answer is:
[tex]\[ 5x + 4y \geq 30 \][/tex]
1. Identify the Variables:
- Let [tex]\( x \)[/tex] represent the number of cups of Superfiber cereal Will ate this week.
- Let [tex]\( y \)[/tex] represent the number of cups of Fiber Oats cereal Will ate this week.
2. Determine the Amount of Fiber in Each Cereal:
- Superfiber cereal contains 5 grams of fiber per cup.
- Fiber Oats cereal contains 4 grams of fiber per cup.
3. Formulate the Total Fiber Consumed:
- The fiber from the Superfiber cereal is [tex]\( 5x \)[/tex] grams.
- The fiber from the Fiber Oats cereal is [tex]\( 4y \)[/tex] grams.
- Therefore, the total fiber consumed is [tex]\( 5x + 4y \)[/tex] grams.
4. Express the Condition with an Inequality:
- Will's fiber intake from the cereals this week must be at least 30 grams.
- This gives us the inequality: [tex]\( 5x + 4y \geq 30 \)[/tex].
Hence, the inequality that represents the situation if the cereal Will ate this week contained at least 30 grams of fiber is:
[tex]\[ 5x + 4y \geq 30 \][/tex]
So, the correct answer is:
[tex]\[ 5x + 4y \geq 30 \][/tex]
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