Question

Luke and skylar work at furniture store. Luke is paid $180 per week plus 5% of his total sales in dollars ,x,which can be represented by g(x)=180+0.05x. Skylar is paid $104 per week plus 7% of her total sales in dollars which can be represented by f(x)=104+0.07x. Determine the value of x in dollars that will make their weekly pay the same

Answer 1

The total sales in dollars to make their pay equal is: $ 3800

Explanation:

Since we need to find the number of sales that make both function equal in value, we equal both expressions, and solve for 'x":

`180+0.05 \,x=104+0.07 \,x\\180-104=0.07\,x-0.05\,x\\76=0.02x\\x=(76)/(0.02) \\x=3800`