Question

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.

Answer 1

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