Question

the number of students on a school trip is proportional to the number of teachers and has an equation of s=25t where a represents the number of students on the trip and t represents the number of teachers on the trip. what is the constant of proportionality? what does it mean in this situation

Answer 1

see the explanation

Explanation:

Let

s ----> the number of students on the trip

t ----> the number of teachers on the trip

we have the equation

`s=25t`

This linear equation represent a proportional relationship, because the line passes through the origin

The constant of proportionality is equal to the slope of the line

so

`k=25\ (students)/(teacher)`

That means -----> there are a ratio of 25 students by teacher in the trip

or

The number of students is 25 times the number of teachers in the trip