Answer:
As per the statement:
Here, x represents the total sales in dollars
Total weekly pay of Alexa in dollar is represented by:
[tex]g(x) = 250+0.095x[/tex]
and
Total weekly pay of Samantha in dollar is represented by:
[tex]f(x) = 413+0.085x[/tex]
We have to find the value of x, in dollars that will make their weekly pay the same.
⇒[tex]g(x)=f(x)[/tex]
Substitute the values we have;
[tex]250+0.095x = 413+0.085x[/tex]
Subtract 250 from both sides we get;
[tex]0.095x =163+0.085x[/tex]
Subtract 0.085 x from both sides we get;
[tex]0.01x =163[/tex]
Divide both sides by 0.01 we have;
[tex]x = \frac{163}{0.01}[/tex]
Simplify:
x = $16300
Therefore, $16300 that will make their weekly pay the same