Final answer:
Derek will need to plant 17 bushes to cover the entire 8.5 meters of the walkway when allowing 50 centimeters of space for each bush.
Step-by-step explanation:
To determine the number of bushes Derek can plant along the walkway, we need to perform a division calculation. Since the entire length of the walkway is 8.5 meters and each bush requires 50 centimeters of space, we can convert the length of the walkway to centimeters for a consistent unit of measurement. There are 100 centimeters in a meter, so the walkway is 850 centimeters long (8.5 meters × 100 centimeters/meter).
Dividing this length by the space required for each bush gives us:
850 cm ÷ 50 cm/bush = 17 bushes.
Therefore, Derek will need to plant 17 bushes to cover the entire length of the walkway.