Question

Alexa and Samantha work at a furniture store. Alexa is paid $250 per week plus 9.5% of her total sales in dollars, xx, which can be represented by g(x)=250+0.095xg(x)=250+0.095x. Samantha is paid $413 per week plus 8.5% of her total sales in dollars, xx, which can be represented by f(x)=413+0.085xf(x)=413+0.085x. Determine the value of xx, in dollars, that will make their weekly pay the same.

Answer 1

As per the statement:

Here, x represents the total sales in dollars

Total weekly pay of Alexa in dollar is represented by:

`g(x) = 250+0.095x`

and

Total weekly pay of Samantha in dollar is represented by:

`f(x) = 413+0.085x`

We have to find the value of x, in dollars that will make their weekly pay the same.

⇒
`g(x)=f(x)`

Substitute the values we have;

`250+0.095x = 413+0.085x`

Subtract 250 from both sides we get;

`0.095x =163+0.085x`

Subtract 0.085 x from both sides we get;

`0.01x =163`

Divide both sides by 0.01 we have;

`x = (163)/(0.01)`

Simplify:

x = $16300

Therefore, $16300 that will make their weekly pay the same