Amelia and Brianna work at a furniture store. Amelia is paid $240 per week plus 6% of her total sales in dollars, xx, which can be represented by g (x) = 240+0.06xg (x) = 240+0.06x. Brianna is paid $130 per week plus 8.5% of her total sales in dollars, xx, which can be represented by f (x) = 130+0.085xf (x) = 130+0.085x. Determine the value of xx, in dollars, that will make their weekly pay the same.

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Mathematics

22 July, 16:52

Amelia and Brianna work at a furniture store. Amelia is paid $240 per week plus 6% of her total sales in dollars, xx, which can be represented by g (x) = 240+0.06xg (x) = 240+0.06x. Brianna is paid $130 per week plus 8.5% of her total sales in dollars, xx, which can be represented by f (x) = 130+0.085xf (x) = 130+0.085x. Determine the value of xx, in dollars, that will make their weekly pay the same.

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Mateo Santos · Answer 1

x = $4400

Step-by-step explanation:

If we want their pay to be the same, the equations have to be equal

g (x) = 240+0.06x = f (x) = 130+0.085x

240 +.06x = 130+0.085x

Subtract. 06x from each side.

240 +.06x -.06x = 130+0.085x-.06x

240 = 130 +.025x

Subtract 130 from each side

240-130 = 130-130 +.025x

110 =.025x

Divide each side by. 025 to isolate x

110/.025 =.025x/.025

4400 = x