Ramona has a new job as a chef. She earns the same

amount per hour as she did in her old job, plus she got a

$ 100 sign-on bonus. Line p represents Ramona's earnings in

her old job. Line a represents her earnings in her new job.

Write an equation for line p. What does the slope mean?

How can you use the equation for line p to write an

equation for line q?

Respuesta :

Answer:

y = 10x  + 100

Step-by-step explanation:

Given the information:

She earns the same  amount per hour as she did in her old job $ 100 sign-on bonus

=> the equation for line p in the form y= mx  where:

  • x is the number of hour she worked
  • y the money she earned

=>  the equation for line q in the form y= mx + 100 ($ 100 sign-on bonus )

From that, we see that the two equations have the same slope or you can use a transformation to map line p onto line q

We can create two points (0, 0) and (2, 20) are on line p  

<=> m = [tex]\frac{y2-y1}{x2-x1} = \frac{20-0}{2-0} = 10[/tex]

The equation for line p is y = 10x

=>The equation for line q should include the hourly earnings at the

new job plus the sign-on bonus. The equation is y = 10x  + 100

Hope it will find you well.