The scale on a map shows that 2 inches represents 15 miles. Which proportion can be used to find the actual distance, x, represented by 30 inches on the map? StartFraction 2 over 15 EndFraction = StartFraction 30 over x EndFraction StartFraction 2 over 15 EndFraction = StartFraction x over 30 EndFraction StartFraction 15 over 30 EndFraction = StartFraction 2 over x EndFraction StartFraction 15 over 30 EndFraction = StartFraction x over 2 EndFraction
Question
The scale on a map shows that 2 inches represents 15 miles. Which proportion can be used to find the actual distance, x, represented by 30 inches on the map? StartFraction 2 over 15 EndFraction = StartFraction 30 over x EndFraction StartFraction 2 over 15 EndFraction = StartFraction x over 30 EndFraction StartFraction 15 over 30 EndFraction = StartFraction 2 over x EndFraction StartFraction 15 over 30 EndFraction = StartFraction x over 2 EndFraction
Solution
The correct proportion to use in this case is "StartFraction 2 over 15 EndFraction = StartFraction 30 over x EndFraction". This is because the scale of the map is given as 2 inches representing 15 miles, and you are trying to find the actual distance represented by 30 inches. Therefore, you set up a proportion where 2 inches (the known map distance) over 15 miles (the known actual distance) equals 30 inches (the unknown map distance) over x (the unknown actual distance).
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