Variables
Where do you put the independent variable on a graph?
On the x-axis or horizontal axis.
Name a key word that helps you identify the pattern in a word problem.
Per, each, a/an
Identify the pattern in the following table of values:
x | y
0 | 0
1 | 4
2 | 8
3 | 12
4 | 16
+4
Your piano lessons cost 25$ per lesson. Identify the rule in this situation.
y=25x
You have a 1500 mL container of orange juice in your fridge. Each morning you drink 100mL. Consider the relationship between the number of days that pass and the amount of juice left in the container. How much juice will be left after one week?
800 mL
The dependent variable
Name a key word that helps you identify the initial value in a word problem.
fee, initial rate
Identify the initial value in the following table of values:
x | y
0 | 15
1 | 18
2 | 21
3 | 24
4 | 27
15
A bike rental company charges 5$ to rent a helmet and then 7$ per hour. Identify the rule in this situation.
y=7x+5
You are emptying your 40000 L pool at the end of the summer. It empties at a rate of 2000L per hour. How long will it take for your pool to be empty?
You make 3$ for every cupcake you sell. Consider the relationship between the number of cupcakes and the amount of money you make. Identify the dependent variable.
The amount of money you make.
You have a business plowing snow. You charge 5$ to secure your service and then an additional 10$ per hour. Identify the pattern in this scenario
10$ per hour.
Fill in the missing values in the following table of values:
x | y
0 | -5
1 | _
2 | 1
3 | 4
_ | 7
-2 and 4
Identify the rule from the following table of values:
x | y
0 | -5
1 | -2.5
2 | 0
3 | 2.5
4 | 5
y=2.5x-5
You are repainting the rooms in your house. 3 walls are staying the same colour. Each day you paint 1 wall. How long will it take you to paint your house if there are 24 walls in your house?
21 days
You rent a car for a fee of 200$ and then spend 1$ per km driven. Identify the independent variable in this scenario.
The number of kilometers driven.
You are emptying your 40000 L pool at the end of the summer. It empties at a rate of 2000L per hour. Identify the initial value.
40000L
What is the initial value according to the following table of values:
x | y
1 | 3
2 | 5
3 | 7
4 | 9
5 | 11
initial value=1
Identify the rule according to the following table of values:
x | y
1 | 3
2 | 5
3 | 7
4 | 9
5 | 11
y=2x+1
You are trying to decide between two car rental companies. The first company charges a fee of 50$ and 1$ per km travelled. The second company charges a 75$ fee and 0.50$ per km. Which company should you use if you will be travelling 75 km and how much will you pay?
You should choose the second company. You will pay 112.50$.
A bird flies at 25 km per hour. Identify the dependent variable in this scenario
The number of kilometers flown
You are repainting the rooms in your house. 3 walls are staying the same colour. Each day you paint 1 wall. Identify the pattern and the initial value.
Pattern: 1 wall each day
Initial value: 3 walls
Fill in the blanks in the following table of values:
Identify the pattern in the following table of values:
x | y
0 | 20
2 | 10
3 | 5
4 | _
8 |_
0 and -20
You have a 1500 mL container of orange juice in your fridge. Each morning you drink 100mL. Consider the relationship between the number of days that pass and the amount of juice left in the container. Identify the rule.
y=-100x+1500
The following table illustrates the cost of a fair according to how many rides you go on. Use the table to find the rule and determine how many rides you can go on for 50$
# of rides | 1 | 2 | 3 | 4 | 5 |
cost ($) |14|16|18|20|22|
y=2x+12
You can go on 19 rides with 50$