Tables/Equations
Proportional Graphs
Question 7
100
Sebastian rode his bike at a constant speed. He rode 1 mile in 7 minutes.
Which of these equations represents the amount of time π‘ (in minutes) that it takes
him to ride a distance of π miles?
A. π‘ = 7π
B.
t=1/7d
C. π‘ = π+ 7
D. π‘ = π β 7
A!
100
Which of the following graphs represents a proportional relationship?
A!
100
A recipe for a milkshake calls for 6 scoops of vanilla ice cream for every 4 tablespoons of chocolate syrup. The line represents the relationship between the amount of vanilla ice cream and the amount of chocolate syrup needed to make a milkshake according to the recipe. The point (1,1.5) is on the line.
Label the axes of this graph.
horizontal axis: tablespoons of chocolate syrup
vertical axis: scoops of vanilla ice cream
200
The table shows the weights of oranges at a grocery store. Complete the table so that there is a proportional relationship between the number of oranges and their weight.
2 oranges weigh 0.10 pounds
13 oranges weigh 0.65 pounds
200
Makaylah and Nasiem left the amusement parkβs ticket booth at the same time. Each moved at a constant speed toward a roller coaster ride. Makaylah's speed is represented by the blue line, while Nasiem's speed is represented by the red line. Who is traveling faster towards the ride? Explain how you know.
Makaylah is traveling faster. She takes less time to travel the same distance as Nasiem.
OR
Makaylah is traveling faster. If we compare how much distance they traveled after a specific time, we can see that Makaylah travels further.
200
A recipe for a milkshake calls for 6 scoops of vanilla ice cream for every 4 tablespoons of chocolate syrup. The line represents the relationship between the amount of vanilla ice cream and the amount of chocolate syrup needed to make a milkshake according to the recipe. The point (1,1.5) is on the line.
Write an equation that represents a proportional relationship between vanilla ice cream and chocolate syrup. Explain the meaning of each variable.
y=1.5x
x = tablespoons of chocolate syrup
y= scoops of vanilla ice cream
300
The equation
F=9/5C+32
relates temperature measured in degrees Celsius, C to degrees Fahrenheit, F.
Determine whether there is a proportional relationship between C and F. Explain or show your reasoning.
There isn't a proportional relationship between C and F because the equation involves addition.
OR
(Group uses a table to show why the equation is not proportional)
300
The graph shows the cost in C dollars of w pounds of strawberries, a proportional relationship. Select ALL true statements.
A. 2.75 pounds of blueberries cost $1.
B. 1 pound of blueberries costs $2.75.
C. 13 pounds of blueberries cost $36.
D. 4 pounds of blueberries cost $11.
E. The point (5,12.5) is on the graph of the proportional relationship.
B and D!!
300
A recipe for a milkshake calls for 6 scoops of vanilla ice cream for every 4 tablespoons of chocolate syrup. The line represents the relationship between the amount of vanilla ice cream and the amount of chocolate syrup needed to make a milkshake according to the recipe. The point (1,1.5) is on the line.
Explain the meaning of the point (1,1.5) in terms of the situation.
For every 1 tablespoon of chocolate syrup, use 1.5 scoops of vanilla ice cream.