Vocabulary
Word Problems
Equations
Tables
Graphs
100

Define independent variable.

Independent variable (x) is a factor that cannot be controlled. Nothing else can change this variable. Time is almost always independent.

100

How do you know if a word problem gives you a constant without having to do a calculation?

The word "per"

100
Label the parts of the following equation:


y=mx

y = dependent

m = constant of proportionality

x = independent variable

100

What is the independent and dependent variable for the following table?


independent = # of tickets

dependent = Cost ($)

100

What is the independent and dependent variable for this graph?


independent = time (min)

dependent = distance (ft)

200

Define dependent variable.

Dependent variable (y) is a factor that can change based on the independent variable. It relies on the other variable. Money is almost always dependent.

200
Xavier reads 35 pages per day. Write an equation to the proportional relationship.

y=35x

200

Tony drives his car 100 miles using 4 gallons of gas. Write an equation for the proportional relationship.

y = 25x
200

What is the constant of proportionality and what does it mean?

constant = 13

13 apples per tree

200

What ordered pair can you use to find the constant of proportionality?


(5,6)

(10,12)

(15,18)

300

What is another word for 1 and when do we use it?

1 = "per". We use it when we have a unit rate/constant of proportionality

300

Imagine NEMS has a car wash to raise money. Assume this is proportional. After washing 15 cars, $120 is raised. What is the constant and what does it represent?

constant = 8

Means $8 per car

300

Ruby goes to workout at the local gym. To pay the membership, Ruby follows the equation y = 25x where he has to pay the total cost for a certain amount of months at a time. What is the constant and what does it represent?

Constant = 25

$25 per month

300

What does the constant of proportionality mean in this table?


$75 per ticket

300

What is the constant of proportionality?


1.5

400

Define constant of proportionality. How do we find unit rates? Give the formula and what each part represents.

the ratio of dependent quantities to independent quantities having an equivalent, constant rate

y/x = dependent / independent

400

Amber earns $490 for working 40 hours for her summer job each week. What is the constant of proportionality? And what is the equation?

constant = $12.25 per hour

y=12.25x


400

Sandy sells ice cream using the equation y=0.9x to represent the total cost and number of scoops of ice cream. What is the constant and what does it mean?

constant = 0.9

$0.90 per scoop

400

What does ? have to be to make the table proportional?

42

400

What does the constant of proportionality mean in this graph?

$1.50 per magnet

500

How do you know when a relationship between two variables is proportional? There are three factors.

1) constant unit rate (y/x)

2) goes through origin (0,0)

3) y=mx

500
Tianna drives 180.8 miles in 4 hours. Write the equation to the proportional relationship.

y = 45.2x

500

Write your own proportional relationship equation and identify each part (what x is, what y is, and what the constant represents).

y = 

m = 

x =

500


A

500

What is the equation to this proportional relationship?


y =1.2x