Question

A survey asked 200 people to name their favorite weekday. The results are shown in the circle graph.

Answer 1

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:

`x+2x+3x+(3)/(2) x+90=360`

`6x+(3)/(2)x=360-90`

`12x+3x=540`

`15x=540`

`x=(540)/(15)=36`

Therefore, Monday = 36 degrees

Friday = 2 x 36 = 72 degrees

Thursday = 3 x 36 = 108 degrees

Tuesday =
`(3)/(2) * 36=54` degrees

b. What percent of the people chose each day?

Answer:

Wednesday
`=(90)/(360) * 100=25\%`

Monday
`=(36)/(360) * 100=10\%`

Friday
`=(72)/(360) * 100=20\%`

Thursday
`=(108)/(360) * 100=30\%`

Tuesday
`=(54)/(360) * 100=15\%`

c. How many people chose each day?

Answer:

Wednesday
`=(25)/(100) * 200=50`

Monday
`=(10)/(100) * 200=20`

Friday
`=(20)/(100) * 200=40`

Thursday
`=(30)/(100) * 200=60`

Tuesday
`=(15)/(100) * 200=30`