Mahmoods1idn
Answered

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Chris is a fitness instructor.

He notes down the time of day 90 of his clients trained last week.

Work out the missing angle sizes in the table below (to the nearest whole degree), so Chris can put the information into a pie chart.

Time of day Frequency Angle size
Morning 45 180
Afternoon 15
Evening 30

Sagot :

Answer:

[tex]\begin{array}{|c|c|c|} \cline{1-3}\text{Time of day} & \text{Frequency} & \text{Angle size}\\\cline{1-3}\text{Morning} & 45 & 180\\\cline{1-3}\text{Afternoon} & 15 & \textbf{60}\\\cline{1-3}\text{Evening} & 30 & \textbf{120}\\\cline{1-3}\end{array}[/tex]

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Explanation:

In the morning, Chris has 45 clients out of 90 total for the week. This represents the fraction 45/90.

Multiply top and bottom by 4 to get to 180/360. I chose 4 because 90*4 = 360.

So that's how your teacher got 180 degrees for the morning angle.

Or you could compute 45/90 = 0.5 and then say 0.5*360 = 180.

The morning clients make up 50% of all his clients.

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For the afternoon, he has 15 clients out of 90.

15/90 = (15/90)*(4/4) = 60/360

I multiplied top and bottom by 4 like last time.

However, this time I got 60 as the numerator.

So a 60 degree angle is used for the afternoon clients.

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In the evening, he has 30 clients to give us the fraction 30/90.

Like before, multiply top and bottom by 4

30/90 = (30*4)/(90*4) =  120/360

We use a 120 degree angle here.

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