A) Nate has a part-time job at the car wash. He earns $13 an hour, and he gets a weekly

bonus of $100 if the business meets the quota of cars for the week. Assuming Nate gets his
bonus, write a linear equation in slope-intercept form to represent how much Nate will get paid
for the week if he works x hours over the week. Let y represent the amount he gets paid for the
week and x represent the number of hours he works for the week. (1 point)
y = 100x + 13
y = 13x + 100
13x − y = −100
y = 13x

1 answer

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