Amelia and Jayden work at a furniture store. Amelia is paid $185 per week plus 9.5% of her total sales in dollars, xx, which can be represented by g (x) = 185+0.095x. Jayden is paid $311 per week plus 8.5% of his total sales in dollars, xx, which can be represented by f (x) = 311+0.085x Determine the value of xx, in dollars, that will make their weekly pay the same

Question

Aisha Charles

Mathematics

17 March, 19:14

Amelia and Jayden work at a furniture store. Amelia is paid $185 per week plus 9.5% of her total sales in dollars, xx, which can be represented by g (x) = 185+0.095x. Jayden is paid $311 per week plus 8.5% of his total sales in dollars, xx, which can be represented by f (x) = 311+0.085x Determine the value of xx, in dollars, that will make their weekly pay the same

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Answers (1)

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Gamble · Answer 1

The weekly sales must be $12,600

Step-by-step explanation:

if their pay is the same, the equations have to be equal

amelia = jayden

185 +.095x = 311 +.085x

subtract. 085x from each side

185 +.095x-.085x = 311 +.085x-.085x

185+.01x = 311

subtract 185 from each side

185-185+.01x = 311-185

.01x = 126

divide by. 01

.01x/.01 = 126/.01

x = 12600