A statue is 8ft. tall. The display case for a model of the statue is 18 inches tall. Which scale allows for the tallest model of the statue that will fit in the display case?
A. 1 inch: 2 inches
B. 1 inch: 7 inches
C. 1 inch: 5 inches
D. 1 inch: 10 inches
The statue is 8 ft. tall. The model can't be any more than 1.5 feet tall. The scale must be less than 19%.
Which of your choices shows a ratio of 19% or less?
Thanks!
bruh
To determine the scale that allows for the tallest model of the statue to fit in the display case, we need to find the ratio between the height of the statue and the height of the display case. Since the height of the statue is given in feet and the height of the display case is given in inches, we need to convert the height of the statue to inches.
Given:
Height of the statue = 8 ft
Height of the display case = 18 inches
To convert the height of the statue from feet to inches, we know that 1 ft is equal to 12 inches. Therefore, the height of the statue in inches would be:
Height of the statue in inches = 8 ft * 12 inches/ft
Height of the statue in inches = 96 inches
Now, let's calculate the ratio of the height of the statue to the height of the display case for each given scale option:
A. 1 inch: 2 inches
Ratio = (Height of the statue in inches) / (Height of the display case) = 96 inches / 18 inches = 5.33
B. 1 inch: 7 inches
Ratio = (Height of the statue in inches) / (Height of the display case) = 96 inches / 18 inches = 5.33
C. 1 inch: 5 inches
Ratio = (Height of the statue in inches) / (Height of the display case) = 96 inches / 18 inches = 5.33
D. 1 inch: 10 inches
Ratio = (Height of the statue in inches) / (Height of the display case) = 96 inches / 18 inches = 5.33
After calculating the ratio for each option, we can see that all the options result in the same ratio of 5.33. Thus, any of the scale options A, B, C, or D will allow for the tallest model of the statue to fit in the display case.