Comparing Relationships with Tables

Comparing Relationships with Tables

Today we'll be comparing relationships with tables and determining if they're proportional or not.

Learning targets:

I can decide if a relationship represented by a table could be proportional and when it is definitely not proportional..

I can decide if a relationship represented by an equation is proportional or not.

Fill in the Blanks

Entrance to a state park costs $6 per vehicle, plus $2 per person in the vehicle.

How much would it cost for a car with 2 people to enter the park?

Fill in the Blanks

What would be the cost for 4 people?

Fill in the Blanks

What would be the cost for 10 people?

For each row in the table, if each person in the vehicle splits the entrance cost equally, how much will each person pay?

With 2 people, $5.00. With 4 people, $3.50. With 10 people, $2.60.

Multiple Choice

How might you determine the entrance cost for a bus with 50 people?

• $300 for the vehicle and the people inside

• $250 for the vehicle and the people inside

• $106 for the vehicle and the people inside

Multiple Choice

Is the relationship between the number of people and the total entrance cost a proportional relationship? Explain how you know.

• No

• Yes

Han and Clare were running laps around the track. The coach recorded their times at the end of laps 2, 4, 6, and 8.

Fill in the tables on your paper.

Multiple Choice

Is Han running at a constant pace? Is Clare?

• Yes, both are running at a constant pace.

• Han is running at a constant pace, but Clare is not.

• Neither are running at a constant pace.

• Han is not running at a constant pace, but Clare is.

Fill in the Blanks

Write an equation for the relationship between distance and time for anyone who is running at a constant pace.