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

What is the constant of proportionality in the table Kennel space to dogs?

 dogs        8     2      5

 kennel   160  40  100



20

100

k = _____

y/x

100

y=kx  If 40=10x than what is x

4

100
Jack counts 20 red cars for every 4 blue cars. Red to Blue
5
200
What is the constant of proportionality for the graph with the following points? (2,4)(3,6)
2/1
200

What is the constant of proportionality for cost to gallons of gas?

cost       10    20   60

gallon      2     4    12

$5.00

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

y= kx  if k= 4 what is the constant of proportionality equation

y = 4x

200
Noah cooks 5 hamburgers for every 3 hotdogs. Hamburgers to hotdogs
1 and 2/3
300
What is the following point on the graph called? (0,0)
Origin
300

What is the missing numbers?

(x) time             2     2.5    ____  ____  

(y) snowfall      8     ____   12     18

3, 4.5

10

300
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
300

In the constant of proportionality y=8x  What is the k?

8

300
The boys in a class compared to the girls are in a ratio of 4 to 5 If there are 16 boys how many girls are there?
20
400
2 characteristics must a graph have for the relationship to be proportionate?
Go through the origin Be a straight lineWhat
400

How do you find the constant of proportionality

y/x


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

Find the constant if the point on the graph is (4,20)

5

400
Workdays to Liesure 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
500

An investor doubles his money each year. is this a proportion or not?

No, The constant is not the same.

500

Is the table relationship proportional?

(y) Notes (pages)      8      9     11

(x) Time (in hours)    16    18    23

No because the constant is not the same.

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
You lucked out
Free bee
500
The ratio of people to square miles in Alaska is 5 to 1. How many people would live on 250 square miles?
1250 people
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