Question

a survey of the 5769 vehicles on the campus of state university yielded the following circle graph. state university vehicles find the number of sedans. round your result to the nearest whole number. a. 288 b. 5481 c. 5 d. 0

Explanation:

Step1: Identify the percentage of sedans

From the pie - chart, the percentage of sedans is \(5\%\).

Step2: Calculate the number of sedans

The total number of vehicles is \(n = 5769\). To find the number of sedans, we use the formula \(x=\text{Percentage}\times\text{Total number}\). So \(x = 0.05\times5769\).

$$x=0.05\times5769=\frac{5}{100}\times5769=\frac{5769\times5}{100}=\frac{28845}{100}=288.45$$

Step3: Round the result

Rounding \(288.45\) to the nearest whole number. Since the decimal part \(0.45<0.5\), we round down. So \(x\approx288\).

Answer:

A. 288