Randy earns $250 per week plus 4 ½ percent commission on the dollar amount of all of his sales. to the nearest dollar, what must be the total value of his sales for him to earn $500 per week?

Step 1) Make the equation describing the situation:

y = 0.045 x + 250

Where x is the sales and y is his total earning.

if,

y = 500 (total earning)

then,

500 = 0.045 x + 250

500 - 250 = 0.045 x

250 = 0.045 x

x = 250/0.045

x = $5,555.55

The total value of his sales should be $5,555 to earn a total of $500.