Question

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.

Answer 1

x = $11400

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)

⇒ 190 + 0.055 x = 475 + 0.03 x

⇒ 0.025 x = 285

⇒ x = $11400

Therefore, for the value of x = $11400, that will make their weekly pay the same. (Answer)