Graphing Proportional Relationships
A gas station sells 4 gallons of gas for $12. Fill in the table below (HINT: Think about the ratio of dollars to gallons and reduce.)
Gallons Dollars
0 0
1
2
3
4 12
5
Gallons Dollars
0 0
1 3
2 6
3 9
4 12
5 15
At a bakery, 6 brownies cost $3. What is the constant of proportionality (unit rate)?
$0.50 per brownie
3 x
___ = ___
6 14
x=7
Order the integers from LEAST to GREATEST.
4, -7, -10, 5, 9
-10, -7, 4, 5, 9
Choose < or >.
6 ____ 9
6 < 9
A plant grew 15 inches in 6 days. Fill in the table below. (HINT: Think about the ratio of inches to days and reduce.)
Days Inches
0 0
2
4
6 15
8
10
Days Inches
0 0
2 5
4 10
6 15
8 20
10 25
a. You can buy 6 cups of hot chocolate for $9. Find the constant of proportionality (unit rate).
b. If c is the cost of h cups of hot chocolate, fill in the blank. Then solve for the variable c to make an equation.
c =
h _____
a. $1.50 per cup
b. c=1.50h
2 8
___ = ___
7 y
y=28
Order the integers from GREATEST to LEAST.
9, -4, 12, -15, -1
12, 9, -1, -4, -15
Choose < or >.
-4 ____ 4
-4 < 4
Draw a graph using the table below.
Days Inches
0 0
2 5
4 10
6 15
8 20
10 25
*Drawing on graph paper
The equation below shows the relationship between the amount of time (hours) a car has been driving and the distance (miles) it has gone.
d = 56 t
If this car went 140 miles, how long did it take?
2.5 hours
c 11
___ = ___
30 5
c=66
Order the integers from LEAST to GREATEST.
-5, 17, -20, -18, 25, 30, 0
-20, -18, -5, 0, 17, 25, 30
Choose < or >.
-6 ____ -9
-6 > -9
Where can you look on a graph for the unit rate?
Go to 1 on the x axis, then go up until you hit the line.
a. Sean is filling his truck with gasoline. He knows the total cost, c, will be proportional to the number of gallons of gasoline, g, that he puts into the gas tank. After putting 8.5 gallons in the tank, the cost is $23.63. Find the unit rate.
b. Write an equation to show this situation.
a. $2.78 per gallon
b. c = 2.78 g
In a hand of cards, the ratio of black cards to red cards is 5 to 3. If I have 15 black cards, how many red cards do I have?
9 red cards
Order the integers from GREATEST to LEAST.
-60, 45, -54, 100, -98, -32, 67
100, 67, 45, -32, -54, -60, -98
Choose < or >.
-5 ____ -13
-5 > -13
In order for a graph to show a proportional relationship, what TWO things must be true?
1. It has to be a straight line.
2. It must go through the origin (0,0).
The equation below shows the relationship between the cost of milkshakes and the number of milkshakes you buy.
c = 2.25 m
a. What do c and m represent?
b. If you buy 4 milkshakes, how much will it cost?
a. c is the cost; m is the number of milkshakes you buy
b. $9
A box of decoration lights has blue and white lights. The ratio of blue lights to white lights is 3 to 2. If the box contains 114 blue lights, how many lights are there IN ALL?
190 lights in all
Order the integers from LEAST to GREATEST.
5, |-2|, -7, -13, |6|, |-4|
-13, -7, |-2|, |-4|, 5, |6|
Choose < or >.
-17 ____ -8
-17 < -8