Answer:
A. Monday = 36°, Tuesday = 54°, Wednesday = 90°, Thursday = 108°, Friday = 72°
B. Monday = 10%, Tuesday = 15%, Wednesday = 25%, Thursday = 30%, Friday = 20%
C. Monday = 20 people, Tuesday = 30 people, Wednesday = 50 people, Thursday = 60 people, Friday = 40 people
D. Scroll below!
Step-by-step explanation:
Utilizing algebra, we can make an equation to help us solve for the degrees. A whole circle is 360° degrees so we set all variables equal to 360°. Giving us this:
3/2x° + x° + 2x° + 3x° + 90° = 360°
Then we subtract 90° and add all the like variables together (the x's).
We get:
6 3/2x° = 270°
Then we divide 270° by 6 3/2x°
Which results in x = 36°
Now we can plug this in as our x value and solve for the variables!
Monday = x = 36°
Tuesday = 3/2x = 3/2 * 36° = 54°
Wednesday = 90°
Thursday = 3x = 3 * 36° = 108°
Friday = 2x = 2 * 36° = 72°
Now we can solve for B.
We will once again use the information that a circle is 360°, therefore to find the percentage of people chose each day by dividing our previous answers by 360° which gives us:
Monday = 10%
Tuesday = 15%
Wednesday = 25%
Thursday = 30%
Friday = 20%
Now we can solve for C by utilizing the percentages, changing them to decimals, and multiplying them by 200. We can use the number 200 because that is the number of people altogether.
Monday = .1 x 200 = 20 people
Tuesday = .15 x 200 = 30 people
Wednesday = .25 x 200 = 50 people
Thursday = .3 x 200 = 60 people
Friday = .2 x 200 = 40 people
20 + 30 + 50 + 60 + 40 = 200
Therefore this checks out.
Now all you must do is make a table and insert the numbers! I filled out a couple to help :]
Degrees | Percentage | # of People
Monday | 36° 10% 20 people
Tuesday |
Wednesday | 90°
Thursday | 30%
Friday | 40 people
