Finding k
In the equation y=4x, what is the constant of proportionality
4
Does a proportional graph have to be a straight line?
Yes.
To check if a table is proportional, you must divide ___ by ___ for every row.
y/x
Write an equation for a relationship with a constant of 7.
y=7x
A table shows x=2, y=10 and x=5, y=25. What is k?
5
What specific point must every proportional graph pass through?
the origin or (0,0)
Is this table proportional?
x y
2 6
3 9
10 30
yes. k=3
Which equation is NOT proportional:
y=2x OR y=2x+1
y=2x+1
What is the k value for a relationship that passes through the point (4,10)
2.5 or
5/2
On a graph, the unit rate is always found at the point (1,k). What does k stand for?
The constant of proportionality or unit rate.
Fill in the missing value for this proportional table:
2 8
5 20
x 40
10
Rewrite 10x = 2y into the form y=kx
y=5x
If y is 12 when x is 3, what is the value of y when x is 7?
k = 4 so y = 28
What does the point (2,40) represent in a real-world context if x is hours and y is miles?
Traveling 40 miles in 2 hours. OR Traveling 20 miles in 1 hour.
In a proportional table, if x=0 what must y equal?
0
In the equation y=3/4x , if x = 12, what is y?
9
Look at a graph where the line passes through (3,1). What is the constant of proportionality?
1/3
If a graph is a straight line but passes through (0,5), is it proportional? Why or why not?
No, because it does not pass through the origin.
A table has the pairs (4,2) and (10,5). Write the equation that represents this table.
y=0.5
An equation represents c (total cost) for p (pounds of apples) at $1.50 per pound. Write the equation.
c=1.50p