Answer :
Answer:
Louis would have to sell 30 shoes to make the same total salary in either job
Step-by-step explanation:
Louis salary is a linear function given by:
[tex]S(x) = S_{f} + ax[/tex]
In which S(x) is how much he earns each week selling x shoes, [tex]S_{f}[/tex] is the fixed salary and a is his commission for selling a shoe.
Job 1
One pays $25 per week plus a $2 commission for each pair of shoes sold.
This means that [tex]S_{f} = 25, a = 2[/tex]. So
[tex]S_{1}(x) = 25 + 2x[/tex]
Job 2
The second job pays $40 per week plus a $1.50 commission for each pair of shoes sold.
This means that [tex]S_{f} = 40, a = 1.50[/tex] So
[tex]S_{2}(x) = 40 + 1.50x[/tex]
How many shoes would Louis have to sell to make the same total salary in either job
This is x when
[tex]S_{1}(x) = S_{2}(x)[/tex]. So
[tex]25 + 2x = 40 + 1.5x[/tex]
[tex]0.5x = 15[/tex]
[tex]x = \frac{15}{0.5}[/tex]
[tex]x = 30[/tex]
Louis would have to sell 30 shoes to make the same total salary in either job