Question

I'm selling a can of soda for $1.00 and have to pay a 10% tax for each can I sell, but for every 10th can I sell I have to pay 5% extra. What would the equation for this be?

So to sell 1-9 cans it's 10% but the 10th is 15%, for 11-19 it's 10% but the 20th is 20%, and for 21-29 it's 10% but the 30th is 25% and so on

P.S. Thank you for taking your time to read & answer this and sorry if I didn't word anything clearly enough

Answer 1

`y=-(3x)/5`

Explanation:

Let x be the transaction. `-x` would be spending money and `+x` would be earning money. `y` would be the overall profit or loss.

#profit = cost~per~can-10% tax~of~cost~per~can - 5%payment~of~every~10~can#

In formula this would be

`y =x-10%(x)-15%(10x)`

Remember that algebraically, especially in the topic of functions, the expression f(x) means 'f of x'.

Simplify step by step

`y = x - (10x)/100 - (10*15x)/100`

`y=x-x/10-(15x)/10`

`y=(10x-x-15)/10`

`y=-(6x)/10`

`y=-(3x)/5`