Question

identifying the variable of a scenario

seventy of myras classmates are traveling by bus to a football game in another town. they hired 2 buses, but there were only 64 seats. the remaining 6 students had to travel in a separate van.
the equation \\(2b + 6 = 70\\) represents the given scenario. what does \\(b\\) represent?

the number of buses
the number of vans
the number of students who rode on each bus
the total number of students going to the football game

Explanation:

Analyze the given scenario and equation

The total number of students is \(70\).
The number of students traveling by van is \(6\).
The remaining students travel on \(2\) buses.
The equation is given as:

$$2b + 6 = 70$$

Identify the components of the equation

In the equation \(2b + 6 = 70\):

• \(70\) represents the total number of students.
• \(6\) represents the number of students in the van.
• \(2\) represents the number of buses hired.
• Therefore, \(b\) must represent the number of students who rode on each bus.

Match with the multiple-choice options

• "the number of buses" is represented by the constant \(2\).
• "the number of vans" is \(1\).
• "the number of students who rode on each bus" is represented by \(b\).
• "the total number of students going to the football game" is represented by \(70\).

Answer:

• the number of buses
• the number of vans
• the number of students who rode on each bus (Correct answer)
• the total number of students going to the football game