Graphs
Proportional equations
Proportional reasoning
Constant of proportionality
100
From the following 2 points on a graph what is the constant of proportionality? (0,0) and (4,1)
1/4
100

Write an equation for the proportional table.


y = 65x

100
k = _____
y/x
100

What is the constant of proportionality (unit rate)?

Stacey hikes 12 miles in 3 hours and 20 miles in 5 hours.

4 miles per hour

200
What is the constant of proportionality for the graph with the following points? (2,4)(3,6)
2/1
200

What does the equation mean for the following problem.    y = 65x

Each hour the car goes 65 miles.

200
If I had 2 pens for every 3 pencils. How many pens would I have if I had 60 pencils?
40 pens
200

What is the constant of proportionality (unit rate)?

y = 3/4x


3/4

300
What is the following point on the graph called? (0,0)
Origin
300

Write an equation to represent the proportional graph.

y = 2x

300

Bracelets are on sale for 3 for $15. How much do 5 bracelets cost?

$25

300

What is the constant of proportionality? 

75 miles per minute

400

2 characteristics a graph has to have for the relationship to be proportional?

1. Go through the origin (0,0)

2. Be a straight line

400

The constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.

Constant of Proportionality

400

A map scale is 1 inch to 100 miles If I go 3.5 inches on the map, How many miles did I go?

350 miles

400

You lucked out

Free points! 

500

An investor doubles his money each year. Is this proportional?

No

500

You lucked out

Free points! 

500
If I make a trail mix with 5 parts nuts and 3 parts raisins, And I had a total of 160 oz of trail mix, how many oz of nuts are in the mix?
100 oz
500

What is the constant of proportionality?

5 feet per second

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