Question

1. construct arguments a survey found that 27% of high school students and 94% of teachers and school employees drive to school. the ratio of students to employees is about 10 to 1. roger states that the number of students who drive to school is greater than the number of teachers and employees who drive to school. explain how rogers statement could be correct.

Explanation:

Step1: Assume the number of employees

Let the number of employees be \(x\). Then the number of students is \(10x\) (since the ratio of students to employees is \(10:1\)).

Step2: Calculate the number of students who drive

The number of students who drive is \(0.27\times10x = 2.7x\).

Step3: Calculate the number of employees who drive

The number of employees who drive is \(0.94x\).

Step4: Compare the two values

Since \(2.7x>0.94x\) (because \(2.7 > 0.94\) and \(x>0\) as it represents a number of people).

Answer:

Roger's statement is correct. If we assume the number of employees is \(x\), the number of students is \(10x\). The number of students who drive is \(0.27\times10x=2.7x\) and the number of employees who drive is \(0.94x\). Since \(2.7x > 0.94x\) (for \(x>0\)), the number of students who drive to school is greater than the number of teachers and employees who drive to school.