Answer:288 inches over 4 inches.
Step-by-step explanation:
To find the expression that represents the change in the scale factor when Sienna changes the length of the top side of the trapezoid-shaped garden from 32 ft to 24 ft, we need to calculate the ratio between the original length and the new length.
The original length of the top side is 4 inches, and the new length is 24 feet.
To compare the lengths, we need to convert them to the same unit. We can convert the new length from feet to inches, so we have:
Original length: 4 inches
New length: 24 feet = 24 * 12 = 288 inches
The scale factor is the ratio of the new length to the original length.
So, the expression that finds the change in the scale factor is:
StartFraction 288 inches over 4 inches EndFraction
Therefore, the correct answer is:
StartFraction 288 inches over 4 inches EndFraction (option b)
Step-by-step explanation:
To find the change in the scale factor, we need to compare the original length (4 inches) with the new length (24 feet or 288 inches). By dividing the new length by the original length, we get the ratio that represents the change in the scale factor. So, the expression that finds the change in the scale factor isTo find the expression that represents the change in the scale factor when Sienna changes the length of the top side of the trapezoid-shaped garden from 32 ft to 24 ft, we need to calculate the ratio between the original length and the new length.
The original length of the top side is 4 inches, and the new length is 24 feet.
To compare the lengths, we need to convert them to the same unit. We can convert the new length from feet to inches, so we have:
Original length: 4 inches
New length: 24 feet = 24 * 12 = 288 inches
The scale factor is the ratio of the new length to the original length.
So, the expression that finds the change in the scale factor is:
StartFraction 288 inches over 4 inches EndFraction
Therefore, the correct answer is:
StartFraction 288 inches over 4 inches EndFraction (option b)
Step-by-step explanation:
To find the change in the scale factor, we need to compare the original length (4 inches) with the new length (24 feet or 288 inches). By dividing the new length by the original length, we get the ratio that represents the change in the scale factor. So, the expression that finds the change in the scale factor is 288 inches over 4 inches.