What is the constant of proportionality from the table?
10
Navelle earns $12 per hour. Write an equation that represents Navelle's earnings.
y = 12x
What two things are required for a graph to be proportional?
1.
2.
1. It is a straight line
2. It passes through the origin
Is the table proportional or not proportional? Explain.
The relationship is proportional because if we divide each cost per number of tickets, we see the constant of proportionality is $1.50 per ticket.
How do you find constant of proportionality from a graph?
Take the y-coordinate and divide it by the x-coordinate.
What is the constant of proportionality from the table?
3
Gianna reads 27 pages in 9 minutes. At What rate does Gianna read?
Gianna reads 3 pages per minute.
Determine which graph(s) is/are proportional.
A and B
Is the table proportional or not proportional? Explain.
It is not proportional because when you divide the numbers, they do not all share the same constant of proportionality.
What is the name of the term for the point (0,0) on a graph?
Origin
Write an equation for the table below.
y = 1/2x or y = 0.5x
Lenasia earned $640 in a 40-hour work week.
What is Lenasia's hourly rate of pay?
$16 per hour
The following graph is proportional. What does the point (12,2) mean in the situation?
Weight on Earth is 12 pounds as the weight on the moon is 2 pounds.
Is the graph proportional or not proportional? Explain your reasoning.
No. The graph does not begin at the origin (0,0).
The equation S = 50 + 45w represents the savings, S, after w weeks working and depositing money into a savings account at the bank.
Determine if there is a proportional relationship between S and w. Explain your reasoning.
Not proportional. A proportional equation has to be of the form y = 45x. The additional 50 that is added throws the proportional relationship off.
Write an equation for the table below.
y = 1/4x or y = 0.25x
Maxine works at law office. the equation y = 135x represents her earnings. Determine how much money she makes if she works 40 hours.
$5,400
Write an equation for the graph.
y = 7x
Is the equation y = 4x - 3 proportional or not proportional? Explain why or why not.
No. The minus 3 causes it to not be proportional.
The graph below shows how many laps a jogger completes in x minutes.
What does the point (6,4) mean in the situation?
In 6 minutes, the jogger has completed 4 laps.
Write an equation for the table shown below.
y = 1.25x or C = 1.25p
A helicopter propeller spins 2400 revolutions in 4 minutes. Write an equation to represent this situation.
y = 600x
Write an equation for the graph.
y = 16x
Determine if the following table is proportional or not proportional. If it is proportional, state the constant of proportionality.
Yes. The constant of proportionality is 1/5.
Use the equation y = 6x - 4 to complete the table, for numbers 1, 2, 3, and 4. Don't use 0.
1: 2
2: 8
3: 14
4: 20