Question

Carson and Avery work at a furniture store. Carson is paid $185 per week plus 1.5% of his total sales in dollars, xx, which can be represented by g(x)=185+0.015xg(x)=185+0.015x. Avery is paid $1 per week plus 5.5% of her total sales in dollars, xx, which can be represented by f(x)=1+0.055xf(x)=1+0.055x. Determine the value of xx, in dollars, that will make their weekly pay the same.

Answer 1

$4,600

Explanation:

Carson:

g(x) = 185 + 0.015x

Avery:

f(x) = 1 + 0.055x

Determine the value of x, in dollars, that will make their weekly pay the same.

Equate both functions

Carson = Avery

185 + 0.015x = 1 + 0.055x

Collect like terms

185 - 1 = 0.055x - 0.015x

184 = 0.040x

Divide both sides by 0.040

x = 184 / 0.040

= 4,600

x = $4,600

The value of x, in dollars, that will make their weekly pay the same is $4,600