Answered

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What percentage of accidents involved a driver between the ages of 20 and 24?

\begin{tabular}{|l|l|l|l|}
\hline Age group & \begin{tabular}{l}
Drivers in \\
accidents \\
(thousands)
\end{tabular} & \begin{tabular}{l}
Drivers in \\
fatal \\
accidents
\end{tabular} & \begin{tabular}{l}
Licensed \\
drivers \\
(thousands)
\end{tabular} \\
\hline 19 and under & 2150 & 5400 & 10,034 \\
\hline [tex]$20-24$[/tex] & 2620 & 8700 & 17,173 \\
\hline [tex]$25-34$[/tex] & 3740 & 10,700 & 35,712 \\
\hline [tex]$35-44$[/tex] & 3220 & 9600 & 40,322 \\
\hline [tex]$45-54$[/tex] & 3030 & 9400 & 40,937 \\
\hline [tex]$55-64$[/tex] & 1900 & 6500 & 30,355 \\
\hline [tex]$65-74$[/tex] & 790 & 3800 & 17,241 \\
\hline 75 and over & 560 & 4300 & 13,321 \\
\hline
\end{tabular}

A. [tex]$17.8 \%$[/tex]

B. [tex]$4.3 \%$[/tex]

C. [tex]$14.5 \%$[/tex]

D. [tex]$11.9 \%$[/tex]

Sagot :

GinnyAnswer
To determine the percentage of drivers aged 20-24 involved in accidents, we need to compare the number of drivers in accidents within this age group to the total number of licensed drivers in the same age group. The given data provides the necessary information for this calculation.

1. Identify the relevant values:

- Number of drivers in accidents (age 20-24): [tex]\( 2620 \)[/tex] (thousands)
- Number of licensed drivers (age 20-24): [tex]\( 17173 \)[/tex] (thousands)

2. Calculate the percentage of drivers involved in accidents:
To find the percentage, we use the formula:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of drivers in accidents}}{\text{Number of licensed drivers}} \right) \times 100 \][/tex]

Substituting the given values:
[tex]\[ \text{Percentage} = \left( \frac{2620}{17173} \right) \times 100 \][/tex]

3. Perform the division and multiplication:
[tex]\[ \text{Percentage} = \left( 0.15256507307983464 \right) \times 100 \][/tex]

[tex]\[ \text{Percentage} \approx 15.26\% \][/tex]

Thus, the correct percentage of drivers aged 20-24 involved in accidents is approximately [tex]\( 15.26\% \)[/tex].

Given the options provided:

A. [tex]\( 17.8 \% \)[/tex]

B. [tex]\( 4.3 \% \)[/tex]

C. [tex]\( 14.5 \% \)[/tex]

D. [tex]\( 11.9 \% \)[/tex]

The closest answer to our calculated value is not exactly listed among the options. However, the actual percentage is [tex]\( 15.26\% \)[/tex]. This result indicates that possibly the provided options might contain an error or could be a typo.
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