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

y=13x
y equals 13 x

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

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

13x−y=−100

Answer 1

To determine Nate's weekly pay, we need to account for both his hourly wage and the weekly bonus.

If he works \( x \) hours at a rate of $13 per hour, he earns \( 13x \) from his hours worked. Additionally, if he meets the quota and receives a $100 bonus, we add that to his earnings.

Thus, the total amount he gets paid for the week can be represented by the equation:

\[ y = 13x + 100 \]

In this equation, \( y \) represents the total amount Nate gets paid for the week, \( x \) represents the number of hours he works, and the $100 is the weekly bonus.

So, the correct response is:

y = 13x + 100