Question

the juniors and seniors at a high school were surveyed about the ages of the cars they drove. the results of the survey are shown in the table. based on these results, which of the following statements are true? select all that apply.

	used vehicle	new vehicle	total
seniors	46	64	110
total	98	101	199

• about 51% of those surveyed drive new vehicles.
• about 42% of juniors drive new vehicles.
• 23% of those surveyed are seniors who drive used vehicles.
• about 73% of seniors drive new vehicles.
• about 23% of seniors drive used vehicles.
• seniors account for about 47% of those who drive used vehicles.

Explanation:

Step1: Calculate percentage of new vehicle drivers

The total number of surveyed people is \(199\). The number of new - vehicle drivers is \(101\). The percentage is \(\frac{101}{199}\times100\%\approx50.75\%\approx51\%\).

Step2: Calculate percentage of junior new - vehicle drivers

The number of juniors is \(89\), and the number of junior new - vehicle drivers is \(37\). The percentage is \(\frac{37}{89}\times 100\%\approx41.57\%\approx42\%\).

Step3: Calculate percentage of senior new - vehicle drivers

The number of seniors is \(110\), and the number of senior new - vehicle drivers is \(64\). The percentage is \(\frac{64}{110}\times100\%\approx58.18\%
eq73\%\).

Step4: Calculate percentage of seniors who drive used vehicles

The number of seniors who drive used vehicles is \(46\), and the total number of surveyed people is \(199\). The percentage is \(\frac{46}{199}\times100\%\approx23.12\%\approx23\%\).

Step5: Calculate percentage of seniors among used - vehicle drivers

The number of used - vehicle drivers is \(98\), and the number of senior used - vehicle drivers is \(46\). The percentage is \(\frac{46}{98}\times100\%\approx46.94\%\approx47\%\).

Answer:

About \(51\%\) of those surveyed drive new vehicles.
About \(42\%\) of juniors drive new vehicles.
\(23\%\) of those surveyed are seniors who drive used vehicles.
Seniors account for about \(47\%\) of those who drive used vehicles.