Question

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?

Answer 1

y = 10x + 100

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 =
`(y2-y1)/(x2-x1) = (20-0)/(2-0) = 10`

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.