7. 100 people were surveyed about an upcoming election. Of those surveyed, 75 said that did not feel that voting in elections was important. If 1200 people were surveyed, how many people would you expect to say that voting was not important? (Hint: set up a proportion)
Q. 7. 100 people were surveyed about an upcoming election. Of those surveyed, 75 said that did not feel that voting in elections was important. If 1200 people were surveyed, how many people would you expect to say that voting was not important? (Hint: set up a proportion)
Set up proportion: Set up the proportion using the numbers from the survey. The ratio of people who think voting is not important to the total number of people surveyed is 75 to 100.
Find expected number: Set up the proportion to find the expected number out of 1200. So, it's like 10075=1200x, where x is the number of people who would say voting is not important out of 1200.
Cross-multiply to solve: Cross-multiply to solve for x. So, 75×1200=100×x.
Do the multiplication: Do the multiplication. 75×1200=90000.
Divide to solve for x: Divide by 100 to solve for x. So, 90000/100=x.
Final result: Do the division. 90000/100=900. So, x=900.