Question

Stella and Brianna work at a furniture store. Stella is paid $190 per week plus 7% of her total sales in dollars,

x
x, which can be represented by
g
(
x
)
=
190
+
0.07
x
g(x)=190+0.07x. Brianna is paid $407 per week plus 3.5% of her total sales in dollars,
x
x, which can be represented by
f
(
x
)
=
407
+
0.035
x
f(x)=407+0.035x. Determine the value of
x
x, in dollars, that will make their weekly pay the same

Answer 1

An equation that could be used:

190 + 0.07x = 407 + 0.035x

190 + 0.035× = 407

0.035x = 217

Answer:

x = 6,200

Check:

190 + 0.07(6,200) = 407 + 0.35(6,200)

624 = 624

Answer 2

6200

Explanation:

Stella = 190 + .07 x where x is the sales

Brianna = 407 + .035x

Set them equal to determine the sales that makes the pay equal

190 + .07 x = 407 + .035x

Subtract .035x from each side

190 + .07 x - .035x = 407 + .035x-.035x

190 +.035x = 407

Subtract 190 from each side

190-190 +.035x = 407-190

.035x = 217

Divide each side by .035

.035x/.035 = 217/.035

x =6200