Interpreting Proportional Relationships

You plan to attend the county fair this weekend. Admission to the fair is $5 and the cost per ride is $0.50. Check off ALL of the following that are true.

• y = 0.5x + 5 will tell me how much I will spend on x rides

• After 3 rides I will spend $1.50

• If I go on NO rides I still have to pay $5 to get in.

• After 3 rides I will spend $6.50

• The slope is $5 per ride

According to the graph, at what speed is this car traveling in miles per hour?

• 80 mph

• 20 mph

• 40 mph

• 160 mph

You and your friends plan to attend the county fair this weekend.  Admission to the fair is $5 and the cost per ride is $0.50.  How many rides can you go on if you have $20?

• 20 rides

• 30 rides

• 40 rides

• 50 rides

At what rate did the rain fall?

• 2 cm per hour

• ¹/₄ cm per hour

• ¹/₂ cm per hour

• 4 cm per hour

What is the meaning of the y-intercept?

• The weight in the bucket increases by 1 pound per pound of sand.

• Before sand is put in the bucket, it weighs 1 pound.

• The starting weight of the sand is 1 pound.

• The weight in the bucket decreases by 1 pound per pound of sand.

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

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 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

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