Vocab
Tables
Constant of Proportionality
Equations
Graphs
100
How can you tell if two quantities x and y are proportional?
If you can multiply all x values by the same number to get the y values
100
complete the table
100
If Stacy hikes for 3 hours and goes 12 miles, and after 5 hours she goes 20 miles. How fast is she hiking?
4 miles per hour
100
write an equation for this proportional relationship.
y = 65x
100
What are the characteristics of a graph that is proportional?
the points are in a straight line which goes through the origin (0,0)
200
What is the equation for a proportional relationship?
y = kx
200
complete the table
200
Use the equation to find the value of y when x = 8
y=3.5x
y = 28
200
A car is traveling on the highway at a constant speed. What does this equation tell us about the car's travel?
y = 65x
the car is traveling at 65 miles per hour
200
does the graph represent a proportional relationship? explain.
yes.
300
What does K represent in the equation y = kx
the constant of proportionality
300
Is this relationship proportional? Explain.
No.
300
calculate the miles for 15 minutes
1,125 miles
300
write an equation to represent the relationship
y = 1.5x or
c = 1.5p
300
does this graph represent a proportional relationship? explain.
No.
400
in a proportional relationship, this is the number we multiply all the values for one quantity by to get the values for the other qunatity
the constant of proportionality
400
is this relationship proportional? explain.
Yes.
400
How many feet will be traveled in 10 seconds?
50 feet.
400
Look at the graph below and write an equation to represent the relationship.
y = 2x
400
what is the constant of proportionality for this graph?
20
500
The point (0,0) on the coordinate plane
the origin