Question

Graphing a Nonproportional Line This activity will help you meet these educational goals Mathematical Practices You will make sense of problems and solve the reason abstractly and quantitatively, construct viable arguments and analyze the reasoning of others use mathematics to model real world situations, use appropriate tools strategically, attend to precision, and look for and make use of structure Directions read the instations for this self checked activity Type in your response to each question, and check your answers. Activity in the first lesson Activity, you derived an equation to model a car wash the equation is y=5x-75 in this activity, you will graph this equation Question 1 is it possible to graph the line that represents this equation by using two points found in the previous lesson Activity, (15 ,0) and ( 0, -75) explain your answer

Answer 1

The given equation is

y = 5x - 75

The graph is shown below

The given points are

(15, 0) and (0, - 75)

When x = 15, y = 0

we would substitute these values into the equation to confirm.

0 = 5*15 - 75

0 = 75 - 75

0 = 0

It is a valid point

Also,

we would substitute these values of x 0 and y = - 75 into the equation to confirm.

- 75 = 5 * 0 - 75

- 75 = - 75

Therefore, the two points can be used to graph the line

It is a valid point