SOLUTION: A person starts his job with a certain monthly salary and earns a fixed increment every year. If his salary was Rs 4500 after 4 years of service and Rs 5400 after 10 years of servi

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Question 776305: A person starts his job with a certain monthly salary and earns a fixed increment every year. If his salary was Rs 4500 after 4 years of service and Rs 5400 after 10 years of service, find his initial salary and the annual increment. I can't figure out if I have to take into account the 12 months in a year into the equation. Thankyou in advance. Appreciate the time and effort.
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


No, you don't need to take the "12 months per year" into account. You have two data points: (4, 4500) and (10, 5400). Since the problem implies a fixed annual increase, the function must be linear.

Use the two-point form of an equation of a line:



where and are the coordinates of the given points.

Simplify and put the equation into slope-intercept form,

Then will be the initial monthly salary and will be the annual increment.

John

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