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Which situation is represented by the inequality 18 ≤ 4 + 0.75x

Updated January 14, 2025

Sierra is growing tomato plants. Which situation is represented by the inequality 18 ≤ 4 + 0.75x?

Sierra starts with a tomato plant that is 4 inches tall. The plant grows 0.75 inches each week. She wants to grow the plant to be at least 48 inches tall.

Sierra starts with a tomato plant that is 0.75 inches tall. The plant grows 4 inches each week. She wants to grow the plant to be at least 48 inches tall.

Sierra starts with a seed planted 4 inches below ground. The tomato plants grow 0.75 inches each week. She wants to grow the plant to be at least 48 inches tall.

Sierra starts with a seed planted 0.75 inches below ground. The tomato plants grow 4 inches each week. She wants to grow the plant to be at least 48 inches tall.

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Quizzma TeamJanuary 14, 2025

The correct situation represented by the inequality (18 leq 4 + 0.75x) is:

Sierra starts with a tomato plant that is 4 inches tall. The plant grows 0.75 inches each week. She wants to grow the plant to be at least 18 inches tall.

Explanation:

In the inequality, (4) represents the initial height of the plant in inches. The term (0.75x) indicates the height of the plant after (x) weeks, where the plant grows (0.75) inches per week. The goal is for the total height to be at least (18) inches, hence the inequality (18 leq 4 + 0.75x).

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Quizzma TeamJanuary 14, 2025

The correct answer is: Sierra starts with a tomato plant that is 4 inches tall. The plant grows 0.75 inches each week. She wants to grow the plant to be at least 48 inches tall.

Explanation: In the inequality (18 ≤ 4 + 0.75x), the number 4 represents the initial height of the plant (inches), and (0.75x) represents the height gained after (x) weeks of growth. To reach a height of at least 48 inches, you can rearrange the inequality to find how many weeks (x) are needed to grow from an initial height of 4 inches to at least 48 inches.