To find out how many rows of peppers Kendra will plant this year while keeping the same ratio, we can set up a proportion based on last year's planting.
Last year, Kendra planted 6 rows of tomatoes and 8 rows of peppers. The ratio of tomatoes to peppers can be expressed as:
\[ \text{Ratio} = \frac{\text{rows of tomatoes}}{\text{rows of peppers}} = \frac{6}{8} = \frac{3}{4} \]
This year, Kendra plans to plant 3 rows of tomatoes. Let \( x \) represent the number of rows of peppers she will plant this year. We can set up the proportion based on the established ratio:
\[ \frac{3}{x} = \frac{3}{4} \]
To solve for \( x \), we can cross-multiply:
\[ 3 \cdot 4 = 3 \cdot x \]
This simplifies to:
\[ 12 = 3x \]
To isolate \( x \), divide both sides by 3:
\[ x = \frac{12}{3} = 4 \]
Thus, Kendra will plant 4 rows of peppers this year.