Question

Stella and Brianna work at a furniture store. Stella is paid $190 per week plus 7% of her total sales in dollars, xx, which can be represented by g(x)=190+0.07xg(x)=190+0.07x. Brianna is paid $407 per week plus 3.5% of her total sales in dollars, xx, which can be represented by f(x)=407+0.035xf(x)=407+0.035x. Determine the value of xx, in dollars, that will make their weekly pay the same.

Answer 1

$6200

Explanation:

Stella's Pay, g(x)=190+0.07x

Brianna's Pay, f(x)=407+0.035x

If their weekly pay is the same, then: g(x)=f(x)

190+0.07x=407+0.035x

Collect like terms

0.07x-0.035x=407-190

0.035x=217

Divide both sides by 0.035

x=6,200

When each of their total sales is $6200, their weekly pay will be the same.