To represent how much Nate will get paid for the week, we need to consider both his hourly wage and the weekly bonus.
Nate earns $13 for each hour he works, which can be represented as \(13x\) where \(x\) is the number of hours he works. Additionally, if he meets the quota, he receives a bonus of $100.
Putting this together, we can express his total earnings \(y\) as the sum of his hourly earnings and his bonus:
\[ y = 13x + 100 \]
So the correct equation is:
y = 13x + 100