Exploring Linear Relationships

Exploring Linear Relationships

Open Ended

Find:

A.) Rate of Change

B.) Y - intercept

Multiple Choice

Explain what real world quantities the slope and y-intercept represent

• The slope tells us how much money we are losing every month

  The y-intercept tells us how much money we started out with

• The slope tells us how much money we make

  The y-intercept tells us we start with no money

• The slope tells us mph

  The y-intercept tells us months

• The slope tells us how much money we start with

  The y-intercept tells us how much money we lose monthly

Multiple Choice

What is the rate of change of the line?

• 120

• 22

• 88

• -4

Multiple Choice

What is the y-intercept of the line?

• y = 2

• y = 88

• y = 0

• 12

Open Ended

Explain what the slope means in a real world representation

Open Ended

What is the y-intercept on this line?

Open Ended

What is the slope and the y-intercept of the equation y = 300 - 6x ?

Open Ended

Thomas is driving from Oak Ridge to Lakeview, a distance of 300 miles. He drives at a constant rate of 60 miles per hour. The equation for the distance yet to be traveled is y = 300 - 60x, where x is the number of hours since he left.

How far does Thomas have left if he drives 2 hours?

Multiple Choice

The entrance fee to the national park is $10. A campsite fee is $20 per night. Write an equation that represents the total cost for a camping trip.

• y= 20x + 10

• y = 50x

• y = 10x - 20

• y = 30

Open Ended

The entrance fee to the national park is $10. A campsite fee is $20 per night.

The equation of this line would be y = 20x +10.

What do the slope and the y-intercept tell us about this situation?

Open Ended

Is this table linear? If so, what is the slope?

Open Ended

What is the y-intercept of this table?

Open Ended

Write an equation using this table.

Open Ended

The equation of the table shown is y = 8x +10. How much would someone be paid if they worked 14 hours at this job ?

​Complete page 89 in the Notes packet with a partner or individually