Naomi and Josiah work at a furniture store. Naomi is paid $190 per week plus 5.5% of her total sales in dollars, x x, which can be represented by g ( x ) = 190 + 0.055 x g(x)=190+0.055x. Josiah is paid $475 per week plus 3% of his total sales in dollars, x x, which can be represented by f ( x ) = 475 + 0.03 x f(x)=475+0.03x. Determine the value of x x, in dollars, that will make their weekly pay the same.
Accepted Solution
A:
Answer:x = $11400Step-by-step explanation:Naomi is paid $190 per week plus 5.5% of her total sales in dollars, x, which can be represented by g ( x ) = 190 + 0.055 x.
And Josiah is paid $475 per week plus 3% of his total sales in dollars, x, which can be represented by f ( x ) = 475 + 0.03 x
Let the weekly pat for them are equal.
Then, g(x) = f(x)
β 190 + 0.055 x = 475 + 0.03 x
β 0.025 x = 285
β x = $11400
Therefore, for the value of x = $11400, that will make their weekly pay the same. (Answer)