Question

Ethan and Layla work at a furniture store. Ethan is paid $235 per week plus 9.5% of his total sales in dollars, xx, which can be represented by g(x)=235+0.095xg(x)=235+0.095x. Layla is paid $53 per week plus 10.5% of her total sales in dollars, xx, which can be represented by f(x)=53+0.105xf(x)=53+0.105x. Determine the value of xx, in dollars, that will make their weekly pay the same.

Answer 1

$18,200

Explanation:

We want ...

f(x) = g(x)

53 +.105x = 235 +.095x . . . . use given expressions

.01x = 182 . . . . . . . subtract 53+.095x

x = 182/.01 = 18200 . . . . . divide by the coefficient of x

Each must sell $18,200 for their weekly pay to be the same.