Graphs
From the following two points on a graph what is the constant of proportionality? (0,0) and (4,1)
1/4
What is the constant of proportionality in the table Kennel space to dogs
Kennel Space Dogs
8 160
2 40
5 100
20
k = _____
y/x
2/12 or 1/6
Jack counts 20 red cars for every 4 blue cars. What is the ratio of red to blue cars?
5
What is the constant of proportionality for the graph with the following points? (2,4)(3,6)
2/1
What is the constant of proportionality for cost to gallons of gas.
gallons cost
2 5.5
3. 8.25
7 19.25
2.75
If I had 2 pens for every 3 pencils. How many pens would I have if I had 60 pencils?
40 pens
The constant of proportionality is 1/4.
Write an equation that represents the proportional relationship?
y=1/4x
Noah cooks 5 hamburgers for every 3 hotdogs. What is the point that shows the constant of proportionality?
1 and 2/3
Complete the table given that the relationship is proportional
12 60
30 __
__ 5
150 and 1
A game warden tags 10 deer and lets them go. A month later he catches 6 deer. 2 of them have tags. Estimate how many deer are in this region.
about 30 deer
y/x= 33/22
If y = 12 then what is x?
18
The art majors in a class compared to the music majors are in a ratio of 4 to 5 If there are 16 art majors how many music majors are there?
20
2 characteristics must a graph have for the relationship to be proportionate?
Go through the origin Be a straight line
Which table has a constant of proportionality left or right
2 6 5 20
18 54 6. 30
50 150 10 60
the left side
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
Sy'iir runs at a constant speed. In 7 minutes he runs 1 mile. How long does it take Sy'iir to run three miles?
Write an equation that will show distance (d) in terms of time (t).
It takes Sy'iir 21 minutes to run three miles.
d=1/7(t)
Workdays to leisure days come in a ratio of 5 to 2. If a man take 14 leisure days, how many work days did he have to work?
35
It is steeper.
Complete the table given the relationship is proportional.
20 8
35 ___
__ 12
14,30
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
Is this equation proportional? Name two ways you can support your answer.
F = 9 5 C + 32
The equation is not proportional.
1) It does not match the form y=k(x)
2) Create a table and show that the unit rates for each row are not equivalent.
The ratio of people to square miles in Alaska is 5 to 1. How many people would live on 250 square miles?
1250 people