Problem

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In a study a researcher measured a plant to be 8 centimeters tall. If the plant continues to grow 2 centimeters every week, after how many weeks will the plant reach the height of 24 centimeters?

The plant will reach the height of 24 centimeters after type your answer... weeks.

Answer

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Answer

Final Answer: The plant will reach the height of 24 centimeters after \( \boxed{8} \) weeks.

Steps

Step 1 :In a study, a researcher measured a plant to be 8 centimeters tall. If the plant continues to grow at a rate of 2 centimeters every week, we want to find out after how many weeks will the plant reach the height of 24 centimeters.

Step 2 :We can use the formula to calculate the number of weeks: \( \frac{{\text{{desired height}} - \text{{current height}}}}{{\text{{growth rate per week}}}} \).

Step 3 :Substitute the given values into the formula: \( \frac{{24 \text{{ cm}} - 8 \text{{ cm}}}}{{2 \text{{ cm/week}}}} \).

Step 4 :Simplify the expression to get the number of weeks: \( \frac{{16 \text{{ cm}}}}{{2 \text{{ cm/week}}}} = 8 \text{{ weeks}} \).

Step 5 :Final Answer: The plant will reach the height of 24 centimeters after \( \boxed{8} \) weeks.

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