Final answer:
The length of the cactus on the scale drawing is 3 inches[(option b) , calculated by dividing the actual length by the real-world measure in the scale factor and then multiplying by the scale representation.
Step-by-step explanation:
The student is asking how to determine the length of a saguaro cactus on a scale drawing given the scale factor and the actual length of the cactus. The scale factor is given as 1.5 inches to 15 feet. To find the length on the drawing, we divide the actual length of the cactus by the second number in the scale factor and then multiply by the first number in the scale factor. So, if the actual length of the cactus is 30 feet, we divide 30 feet by 15 feet (which gives us 2) and then multiply by 1.5 inches to get 3 inches.
To determine the length of a saguaro cactus on a scale drawing, you utilize the scale factor and the actual length of the cactus. In this case, the scale factor is given as 1.5 inches to 15 feet. The method involves dividing the actual length of the cactus by the second number in the scale factor (15 feet) and then multiplying it by the first number in the scale factor (1.5 inches). For example, if the actual length is 30 feet, you divide 30 by 15 (resulting in 2) and then multiply by 1.5 inches, yielding a scale drawing length of 3 inches. This process ensures proportional representation between the actual object and its depiction on the scale drawing. In the given scenario, the length of the cactus on the drawing is determined to be 3 inches, corresponding to Option B.