Graphs
About Proportional Relationships
Exponents
Word Problems
100
When looking at a graph, how do you know it is proportional?
Passes through the origin, constant rate, straight line
100
What is the equation for proportional relationships?
y=kx
100
1/53
100
DO NOT SOLVE: What are 2 things you would do to 3.5kg to answer the question? (look at the units of your answers)
We would need to convert 3.5kg to pounds and ounces.
200
What is the constant of proportionality?
K=5
200
What does K represent?
Constant of Proportionality
200
When you have a negative exponent, what do you do to the exponent?
Take the reciprocal
200
Dr. Porter walked 3/5 mile in 1/4 hour. How fast did she walk in miles per hour?
2 2/5 miles per hour
300
What does the ordered pair (9, 6) mean in the context of this graph?
6 laps in 9 minutes
300
How do you find the constant of proportionality (K)?
K = Y/X
300
412 / 63
300
Use the word problems to write 3 ordered pairs to plot on a graph. (x: cookies, y: money)
(2, 1.50) (6, 4.50) (8, 6)
400
Why is It best to use the black dot instead of the blue dot for your data?
The black dot meets perfectly with an X coordinate and a Y coordinate, making it easy to find the constant of proportionality.
400
Is the table proportional? If so, what's the equation? Do the input or output numbers go on top when you divide?
It is proportional, we see it passes through the origin and also, K=3: y=3x. Input goes on top when you divide.
400
84 x 27
219
400
The title of the x-axis is "cookies"
The title of the y-axis is "cost"
0.75 cents for 1 cookie, 0 cookies $0