Interpreting Proportional Relationships with Graph

The graph shows the cost of buying gas at the gas station.

Is the number of gallons bought proportional to the cost?

• Yes, it is a proportional relationship

• No, this is not a proportional relationship

The graph shows the cost of buying gas at the gas station.

What does the point (10, 30) mean in the context of the situation?

• 10 times 3 is 30

• 10 gallons of gas costs $30

• 30 gallons of gas costs $10

• (20, 60)

The graph shows the number of miles a car has driven over time.

Is the number of miles driven proportional to the amount of time? How do you know?

​ (a)   , I know this because there ​ (b)   and ​ (c)  

• Yes
• is a straight line
• it goes through the origin.
• No
• is a vertical line
• it goes on the graph.

The graph shows the number of miles a car has driven over time.

What does the point (5, 250) mean in the context of the situation?

• To drive 5 miles it takes 250 hours.

• In 5 hours a car can drive 250 miles.

• The top of the graph.

The graph shows the number of miles a car has driven over time.

What does the point (1, 50) mean in the context of the situation?

• For every hour the car can travel 50 miles.

• For every mile the car can travel for 50 miles.

• The start of the graph.

The graph shows the number of miles a car has driven over time.

Identify the point on the graph that shows the unit rate.

The graph displays the cost to buy cookies at a local bakery.

What does the point (0, 0) mean in the context of the situation?

• When 0 cookies are purchased $0 are spent

• The beginning of the graph

The graph displays the cost to buy cookies at a local bakery.

What does the point (1, 0.50) mean in the context of the situation?

You purchased ​ (a)   ​ cookie it cost ​ (b)   ​

• $0.50
• 1
• $1.00

The graph displays the cost to buy cookies at a local bakery.

What is the unit rate for the cost of cookies?

Mathematical Equivalence

ON

Select all that apply:

If two sets of data are proportional to one another:

• the value of every ratio y/x will not be equal

• the graph that represents the data will be a straight line that passes through the origin.

• the graph will contain the points (0, 0) and (1, r) where r is the unit rate.

• there will exist a constant, k, for which you can replace in the equation y = kx