Table of Values
Graph
Vocab
Equations
Scale Factor
100
Tell whether the table represents a direct proportion or not. If direct, what is k and the equation? If not direct, why not?
Not Direct
100
Name two features of a Direct Proportion graph.
1. Passes through the origin (0,0)
2. A straight line
100
A comparison of two numbers from unlike categories
rate
100
Direct or not? If direct, what is k? If not, why not?
5y = 3x2 + 2
Not Proportional
direct equations do not have + 2 or squared exponents
100
What will be true about the scale factor of a reduction?
the constant will be less than 1
200
Doe this table represent a direct proportion or not. If direct, what is k and the equation. If not, why not.
Not Direct
200
Describe how you can find the constant of proportionality from a direct proportion graph.
Choose a point on the graph and solve for k by dividing the y value by x.
Use the slope formula, m = rise /run. Pick 2 points and count the rise and run, then simplify.
200
The ratio describing how two similar figures are related
Scale factor
200
Direct or not? If direct, what is k? If not, why not?
y = -7x
Direct
k= -7
200
What will be true about the scale factor of an enlargement?
The constant will be greater than one
300
Tell whether the table is a direct proportion or not. If it is, state the constant of proportionality.
Yes; k = 3/2
300
Write a direct proportion equation for this graph.
y=x or y = 1x
300
An equation where two ratios are set equal to each other
Proportion
300
What is the equation of the following points?
(7, -49) and (4, -28)
y = - 7x
300
If a model semi-truck has a scale of 1/30, and the actual truck has a height of 105 inches, what is the height of the model?
The model of the truck will have a height of 3.5 inches.
400
Is the following table a direct proportion or not? If so, what is k?
Not Direct.
400
What is the constant of proportionality for the graph?
k=5
400
The total cost of tickets to the dance is directly proportional to the number of tickets purchased. If I pay $15 for 5 tickets, that means that I will pay $3 per ticket. What does 3 represent in this situation?
constant of proportionality
(unit rate)
400
Y is directly proportional to x when y = -50, and x = 10. What is the direct proportion equation?
Direct proportion
y= -5x
400
If a watercolor painting that is 20 cm by 38 cm has been enlarged by a factor of 4, what are the new dimensions?
80 cm by 152 cm
500
Is the table below a direct proportion? If so, what is k and the equation? If not, why not?
Direct; k = 2; y=2x
500
What does the point (2, 10) mean in this context?
At 2 hours, the person has run 10 miles.
500
When two similar figures are related by a scale factor that is less than one.
Reduction
500
Y is directly proportional to x when
y = 18 and x = 3.
What is the direct proportion equation?
y = 6x
500
If a photograph of a tree has a
scale of 1 inch : 15 feet
and the height of the tree in the photo is 2.8 inches, what is the height of the actual tree?
The actual tree is 42 feet tall.