Brandon and nolan work at a furniture store. brandon is paid $235 per week plus 6% of his total sales in dollars, x, which can be represented by g (x) =235 +0.06x. nolan is paid $667 per week plus 3% of his total sales in dollars, x, which can be represented by f(x)=667+0.03x. determine the value of x, in dollars, that will make their weekly pay the same.

The value of "x" is 14400 dollars that will make their weekly pay the same

Solution:

Given that,

Brandon is paid $235 per week plus 6% of his total sales in dollars, x, which can be represented by g (x) =235 + 0.06x

g(x) = 235 + 0.06x eqn 1

Nolan is paid $667 per week plus 3% of his total sales in dollars, x, which can be represented by f(x ) = 667 + 0.03x

f(x) = 667 + 0.03x eqn 2

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

For their weekly pay to be same, g(x) = f(x)

235 + 0.06x = 667 + 0.03x

Move the variables to one side and constants to other side

0.06x - 0.03x = 667 - 235

0.03x = 432

x = 14400

Thus value of "x" is 14400 dollars that will make their weekly pay the same