Two round fountains are similar. One measures 7'6" across and the other measures 14'11" across. Find the scale factor from the small one to the large one.
To find the scale factor from the small fountain to the large fountain, we need to compare the corresponding lengths of the two fountains.
First, let's convert the measurements to a consistent unit, such as inches.
The small fountain measures 7'6" across. To convert feet to inches, we multiply by 12 since there are 12 inches in a foot.
7 feet x 12 inches/foot = 84 inches
So, the small fountain measures 84 inches across.
The large fountain measures 14'11" across. Again, we convert the feet to inches.
14 feet x 12 inches/foot = 168 inches
And adding the 11 inches,
168 inches + 11 inches = 179 inches
So, the large fountain measures 179 inches across.
Now, we can calculate the scale factor by dividing the size of the large fountain by the size of the small fountain:
Scale Factor = Large Fountain Size / Small Fountain Size
Scale Factor = 179 inches / 84 inches
Scale Factor ≈ 2.13
Therefore, the scale factor from the small fountain to the large fountain is approximately 2.13.