Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the circle graph shown below to answer the question.
If 210 people said football was their favorite sport to watch, how many people were surveyed?
Insufficient information
you need the bar graph
500
To find out how many people were surveyed, we need to use the information given in the circle graph.
Let's assume that the total number of people surveyed is represented by the entire circle (360 degrees).
In the circle graph, it is mentioned that 210 people said football was their favorite sport to watch. This value is represented by a portion of the circle.
To find out how many people were surveyed, we can set up a proportion:
(portion of the circle representing 210 people) / (entire circle representing total number of people surveyed) = (percentage or fraction of the circle representing 210 people) / (percentage or fraction of the circle representing the total number of people surveyed)
Let's denote the total number of people surveyed as "x".
So, we have:
210 / x = (portion of the circle representing 210 people) / (entire circle representing total number of people surveyed)
Now, we need to find out the fraction or percentage of the circle representing 210 people.
Looking at the circle graph, we can see that the portion representing 210 people is 70 degrees. Since a circle has 360 degrees, we can express this as a fraction or percentage as follows:
70 degrees / 360 degrees = (fraction or percentage representing 210 people) / 1
Simplifying the equation:
70 / 360 = (fraction or percentage representing 210 people)
The fraction can be simplified further:
7 / 36 = (fraction or percentage representing 210 people)
Now, we have the fraction or percentage representing 210 people. We can substitute this value back into the original equation to solve for x:
210 / x = 7 / 36
To solve for x, we can cross-multiply:
7x = 210 * 36
Now, we can solve for x by dividing both sides of the equation by 7:
x = (210 * 36) / 7
Calculating this:
x = 1080
Therefore, the total number of people surveyed is 1080.