Solution: a. How many degrees are in each part of the circle graph?
Answer: We can see the Wednesday holds 90 degree of the entire circle.
We know that:
[tex]x+2x+3x+\frac{3}{2} x+90=360[/tex]
[tex]6x+\frac{3}{2}x=360-90[/tex]
[tex]12x+3x=540[/tex]
[tex]15x=540[/tex]
[tex]x=\frac{540}{15}=36[/tex]
Therefore, Monday = 36 degrees
Friday = 2 x 36 = 72 degrees
Thursday = 3 x 36 = 108 degrees
Tuesday = [tex]\frac{3}{2} \times 36=54[/tex] degrees
b. What percent of the people chose each day?
Answer:
Wednesday [tex]=\frac{90}{360} \times 100=25\%[/tex]
Monday[tex]=\frac{36}{360} \times 100=10\%[/tex]
Friday[tex]=\frac{72}{360} \times 100=20\%[/tex]
Thursday[tex]=\frac{108}{360} \times 100=30\%[/tex]
Tuesday[tex]=\frac{54}{360} \times 100=15\%[/tex]
c. How many people chose each day?
Answer:
Wednesday [tex]=\frac{25}{100} \times 200=50[/tex]
Monday[tex]=\frac{10}{100} \times 200=20[/tex]
Friday[tex]=\frac{20}{100} \times 200=40[/tex]
Thursday[tex]=\frac{30}{100} \times 200=60[/tex]
Tuesday[tex]=\frac{15}{100} \times 200=30[/tex]
