The senior members of the glee club went on 5 field trips during the school year. The number of vans needed to transport the members on each trip is a function of the number of members who went on the trip. This function consists of only the ordered pairs (12, 1), (28, 2), (35, 3), (42, 3), and (50, 4). What is the range for this situation?

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step-by-step

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is