What are the extremes of the proportion $9.8 / 11.5=4.9 / 5.75$?
a) 9.8 and 4.9
b) 11.5 and 4.9
c) 9.8 and 5.75
d) 9.8 and 11.5
Answer (2)
Identify the proportion: 9.8/11.5 = 4.9/5.75 .
Recall that in a proportion a / b = c / d , the extremes are a and d .
Identify the extremes in the given proportion: 9.8 and 5.75 .
The extremes of the proportion are 9.8 and 5.75 .
Explanation
Identifying the Extremes The given proportion is 9.8/11.5 = 4.9/5.75 . We need to identify the extremes of this proportion. In a proportion a / b = c / d , the extremes are a and d . In the given proportion 9.8/11.5 = 4.9/5.75 , a = 9.8 , b = 11.5 , c = 4.9 , and d = 5.75 . Therefore, the extremes are 9.8 and 5.75 .
Stating the Answer The extremes of the proportion 9.8/11.5 = 4.9/5.75 are 9.8 and 5.75 .
Examples
Proportions are used in everyday life to scale recipes, convert currencies, and calculate distances on maps. For example, if a recipe calls for 2 cups of flour for 4 servings, you can use a proportion to determine how much flour you need for 6 servings. Similarly, if a map has a scale of 1 inch = 10 miles, you can use a proportion to find the actual distance between two cities that are 3.5 inches apart on the map.
The extremes of the proportion 11.5 9.8 = 5.75 4.9 are 9.8 and 5.75 . Therefore, the correct option is not provided in the multiple-choice answers as they include incorrect pairings.
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