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)

Question

Responses

13x−y=−100
13 x minus y equals negative 100

y=13x+100
y equals 13 x plus 100

y=100x+13
y equals 100 x plus 13

y=13x

Answer 1

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 per hour, so for \( x \) hours worked, he will earn \( 13x \). If he gets the $100 bonus, we will add that to his earnings.

Therefore, the total pay \( y \) can be represented by the equation:

\[ y = 13x + 100 \]

So, the correct response is:

y = 13x + 100