The formula 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 same amount of merchandise sold if the employees salary was $2820 last month.

A) Find the inverse of the function

s=0.04n+2500

s-2500=0.04n+2500-2500

s-2500=0.04n

s/0.04-2500/0.04=0.04n/0.04

25s-62,500=n

n=25s-62,500

Answer: The inverse of the function is n=25s-62,500

Is the inverse a function?

Yes, the inverse is a function, a linear function.

b) Use the inverse to find the same amount of merchandise sold if the employees salary was $2820 last month.

s=2,820→n=25 (2,820) - 62,500

n=70,500-62,500

n=8,000

Answer: The amount of merchandise sold was $8,000