Mary gets an increment of 200 rupees on her salary every year. Write an equation connecting the number of years she works and the total increase in salary over the years. Is the total increase in salary proportional to the number of years of work?
Mary gets an increment of 200 rupees on her salary every year. Write an equation connecting the number of years she works and the total increase in salary over the years. Is the total increase in salary proportional to the number of years of work?
Let Mary’s salary in the first year be Rs.s and the number of years she worked be n.
Increase in Mary’s salary every year = Rs.200
∴ Mary’s salary in the second year = Rs.(s + 200)
Mary’s salary in the third year = Rs.(s + 200 + 200) = Rs.(s + 2 × 200)
Mary’s salary in the fourth year = Rs.(s + 3 × 200)
Mary’s salary in the nth year = Rs.{s + (n − 1) × 200}
Total increase in the salary = Rs.{s + (n − 1) × 200} − Rs.s = Rs.200(n − 1)
Disclaimer:
Since the total increase in the salary is already in terms of the number of years Mary worked, we cannot write an equation connecting the number of years she worked and the total increase in salary.
Thus, we cannot also comment on the proportionality of the total increase in salary and the number of years of work.
Let Mary’s salary in the first year be Rs.s and the number of years she worked be n.
Increase in Mary’s salary every year = Rs.200
∴ Mary’s salary in the second year = Rs.(s + 200)
Mary’s salary in the third year = Rs.(s + 200 + 200) = Rs.(s + 2 × 200)
Mary’s salary in the fourth year = Rs.(s + 3 × 200)
Mary’s salary in the nth year = Rs.{s + (n − 1) × 200}
Total increase in the salary = Rs.{s + (n − 1) × 200} − Rs.s = Rs.200(n − 1)
Disclaimer:
Since the total increase in the salary is already in terms of the number of years Mary worked, we cannot write an equation connecting the number of years she worked and the total increase in salary.
Thus, we cannot also comment on the proportionality of the total increase in salary and the number of years of work.
