The system of linear inequalities to represent this situation. is given as-
9p <= 480
a >= 8s
p = a + s
Expressions with linear inequalities compare any two values using inequality symbols like "<," ">," "<=," or ">=." These values could be either numerical, algebraic, or both.
If the linear inequality is larger than or less than but not equal to, a dashed line appears on the graph. On the other hand, a solid line always appears in linear equations. Linear equations lack shaded sections, whereas linear inequalities do.
According to the question,
The buses can carry a maximum of 480 people.
These people include adults as well as students.
Let 'p' represents the total number of people in the bus.
Let 'a' represents the number of adults in the bus.
Let 's' represents the number of students in the bus.
Thus,
p = a + s.
As, there must be a minimum of one adult for every 8 students.
a >= 8s
and,
9p <= 480
Therefore, the system of linear inequalities are found.
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