Final answer:
To fill the delivery truck to 70% of its capacity, Johnny will need to make at least 42 trips with the wheelbarrow.
Step-by-step explanation:
The question asks us to calculate the minimum number of times Johnny needs to use the wheelbarrow to fill the delivery truck until it is 70% full. First, we find the volume of the wheelbarrow by multiplying its dimensions, which is 2' x 3' x 1.5' = 9 cubic feet.
Next, we calculate the volume capacity of the delivery truck, which is 11' x 8' x 6' = 528 cubic feet. To find out how much volume represents 70% of the truck's capacity, we multiply 528 cubic feet by 70%, resulting in 369.6 cubic feet.
To determine the number of wheelbarrow loads required to reach this volume, we divide the total volume needed (369.6 cubic feet) by the volume of one wheelbarrow load (9 cubic feet), getting approximately 41.067, which means Johnny will need to make at least 42 trips with the wheelbarrow because we cannot have a fraction of a trip.