exam Maths Puzzle Numerical Ability

HOW DOES A RAY,A LINE SEGMENT AND, A LINE LOOK PLEASE?

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Carney college is expanding from 850 to 1050 students. To avoid any rise in the student to faculty ratio, the faculty of 69 professors must also iincrease. How many new faculty positions should be created?
In Exercises 51 to 54, find the constant of variation k. See Example 9 (p 556) in the text.

52) m varies directly with n; m = 144 when n = 8.