Michael's base pay is $450 per week, so the amount he earns from sales commission is 4% of (x - 1000), which is:
0.04(x - 1000)
The total amount Michael earns in a week is the sum of his base pay and his commission:
Total earnings = $450 + 0.04(x - 1000)
We know that Michael was paid $570 in a week, so we can set up the following equation:
$570 = $450 + 0.04(x - 1000)
Simplifying and solving for x, we get:
$570 - $450 = 0.04(x - 1000)
$120 = 0.04x - 40
$160 = 0.04x
x = $4,000
Therefore, Michael's sales in a week were $4,000.