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.