SOLUTION: the formulas s=0.04n+2500 gives an employees monthly salary s, in dollars, after selling n dollars in merchandise at an appliance store. a.) find the inverse of the function. Is

Algebra ->  Inverses -> SOLUTION: the formulas s=0.04n+2500 gives an employees monthly salary s, in dollars, after selling n dollars in merchandise at an appliance store. a.) find the inverse of the function. Is       Log On


   

Question 834665: the formulas s=0.04n+2500 gives an employees monthly salary s, in dollars, after selling n dollars in merchandise at an appliance store.
a.) find the inverse of the function. Is the inverse a function?
b) use the inverse to find the amount of merchandise sold if the employees salary was $2820 last month.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
s%28n%29=0.04n%2B2500
Let i(n) be the inverse of s(n).

s%28i%28n%29%29=0.04%28i%28n%29%29%2B2500=n;
Solve for i(n).
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0.04%2Ai%28n%29=n-2500
i%28n%29=%28n-2500%29%2F0.04

The way this is asked, you are given s(n) and are asked to find n. Use of i(n) seems inapplicable. I'd start with just the original function, s%28n%29=2820=0.04n%2B2500
and solve for n.
%282820-2500%29%2F0.04, but this IS what was found to be the inverse expression. s and n have appeared to switch purposes. This amount of merchandise sales is 8000 dollars.