Question

The annual salary of each employee at an automobile plant was increased by 6% cost of living raise and then $2000 productivity raise. A) Write a function that transforms old annual salary, S, into the new one, N. B) state any transformations done on the old salary to get to new one.

Answer 1

a) N = 1.06S +2000

b) the old salary is scaled by a factor of 1.06 and translated upward by 2000.

Explanation:

a) a 6% raise means the new salary is 100% + 6% = 106% of the old one. A raise of an additional dollar amount simply adds to the scaled salary.

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b) The translations are "math speak" for the English description of "increased by 6% and then raised by 2000". "Increased by 6%" means that .06 of the amount is added to the amount, effectively multiplying it by 1.06. "Raised by 2000" means 2000 is added.