Question

Sierra found that 15 meters is equivalent to 49.2 feet. Which of the following is an equivalent ratio?

3 to 8.84
5 to 18.22
7 to 22.96
9 to 25.32

Answer 1

The answer is 7 to 22.96

Answer 2

7 to 22.96

Explanation:

Hello!

We can represent each ratio as a fraction:

• Original: 15 to 49.2 =
  `(15)/(49.2)`
• 3 to 8.84 =
  `(3)/(8.84)`
• 5 to 18.22 =
  `(5)/(18.22)`
• 7 to 22.96 =
  `(7)/(22.96)`
• 9 to 25.32 =
  `(9)/(25.32)`

To find equivalent values, we can convert each fraction into a decimal by dividing them.

Convert

• Original:
  `(15)/(49.2) = 0.304878048780488`
• 
  `(3)/(8.84) = 0.339366515837104`
• 
  `(5)/(18.22) = 0.274423710208562`
• 
  `(7)/(22.96) = 0.304878048780488`
• 
  `(9)/(25.32) = 0.355450236966825`

The ratio of 7 to 22.96 is equivalent to the ratio of 15 to 49.2.