Independent and Dependent Variables
Writing Equations
Making Tables
Graphing
The Triple Threat
100
A special breed of snake sheds its skin 4 times per year. How many times would the snake shed its skin in 12 years?
Identify the independent and dependent variable.
What is
independent is the number of years
dependent is the number of times the snake sheds its skin?
100
The table shows the total cost c of buying b shell bracelets at a souvenir shop. Write an equation to represent the relationship between c and b.
Number of bracelets, b Total Cost ($), c
1 6
2 12
3 18
4 24
5 30
What is c=6b or c=6xb?
100
A store charges $1.70 for a fountain soft drink. The total cost c of d soft drinks is equal to 1.7 times d. The table below represents this situation. What is the missing value in the output column?
Input, d Rule, 1.7d Output, c
1 1.7(1) 1.7
2 1.7(2) 3.4
3 1.7(3) ?
What is 5.1?
100
The graph shows the amount of money m, in dollars, Stacey earned for h hours of work. Write an equation that could be used to find the amount of money Stacey earns for any number of hours.
what is m=12h
100
An author is hiring an assistant to type her new novel. The author wants to hire someone who can type 40 words per minute.
Represent the relationship with an equation and table, where m is the number of minutes and w is the number of words typed.
π€ = _______m
Number of Minutes, m Words typed, w
1 ?
2 ?
3 ?
What is
w=40m
40
80
120
200
A student answers 3 questions each minute while taking a test. Identify the independent and dependent variable.
What is
independent is the number of minutes
dependent is the number of questions answered
200
The table shows the total cost for h hours a plumber charges to make a service call to a customer. Write a two-step equation that represents the total cost for the number of hours of service the plumber provides?
Number of Hours, (h) Total Cost ($), c
1 70
2 110
3 150
4 190
What is
c= 40h+30?
200
Mr. Hamilton has 144 pencils to give to his students. The number of pencils p each student will receive is equal to 144 divided by s, the number of students. The table below represents this situation. Which of the following numbers should be entered into the input column (top to bottom) in order to complete the table?
Input, s rule, 144/s output, p
? 144/s 12
? 144/s 9
? 144/s 6
What is
12
16
24?
200
The graph shows the total cost a customer pays c to talk on the phone for m minutes. Write an equation that could be used to find the total cost a customer would pay for talking on the phone for any number of minutes.
c= ?m + ?
what is 0.5m + 5
200
Match each situation to the equation, table, or graph that best represents it.
Henry paints 22 fence posts per hour.- Juli ran 0.4 mile in one hour.
- Ryan parks cars for $16 per hour.
- Shaun tutors 4 students each day.
Unused Choices
Henry paints 22 fence posts per hour
Juli ran 0.4 mile in one hour.
Ryan parks cars for $16 per hour.
Shaun tutors 4 students each day.
300
Given the equation y=3x+1 what is the dependent variable
What is y is dependent or 1 is dependent
300
The table shows the total number of miles m an SUV can travel on g gallons of gasoline. Write an equation to represent the relationship between m and g.
Number of Gallons of Gas, g Total Number of Miles, m
1 23
2 43
3 63
4 83
What is m= 20g+3
300
Sandra makes cupcakes for a school bake sale. She can make a dozen cupcakes in 15 minutes. She has one and one-half hours to make as many cupcakes as she can for the bake sale.
Complete the table to find the total time it will take Sandra to make 5, 6, and 7 dozen cupcakes.
Dozen cupcakes, c 15c Total time (minutes),m
5 15c ?
6 15c ?
7 15c ?
How many cupcakes can Sandra make in the allotted time?
What is
75 minutes
90 minutes
105 minutes.
Sandra can make 6 dozen cupcakes in an hour and a half
300
The equation π =7β’π β2 represents the number of helium balloons b Terrance filled in m minutes. Graph the equation on the coordinate plane
check answer on board
Ordered pairs are (1,5) and (2,12)
300
Nadeen has received $42 in donations for her volleyball team, and she is selling magazine subscriptions to raise more money. For every subscription that she sells, the team will raise $5.50.
Represent the relationship with an equation and a table, where m is the number of magazine subscriptions sold and t is the total amount of money raised for the volleyball team.
π‘ = _____π + ______
Number of Subscriptions sold, m Total Raised ($), t
1 ?
2 ?
3 ?
Then graph it using the graph paper attached to your board
What is 5.50m + 42
47.5
53
58.5
400
Identify each variable: The number of gallons (g) of water a garden hose produces after running for (m) minutes.
Minutes is independent
gallons of water is dependent
400
Andy works at a store repairing cell phones. The table shows the total cost c for repairing p cell phones. Write an equation to represent the relationship between c and p.
Number of Cell phones, p Total Cost ($), c
1 28.16
2 56.32
3 84.48
4 112.64
What is c=28.16p
400
The equation π =8β’π represents the number of biscuits b in p packages of biscuits.
Complete the table of values that represents this situation.
number of packages, p number of biscuits, b
0 ?
1 ?
2 ?
3 ?
What is
0
8
16
24
400
The graph shows the number of miles m Abdi drove in h hours. Which equation(s) could be used to find the number of miles Abdi drove for any number of hours? Select all that apply.
What is m=30h
400
Use words to represent the relationship found in the table and graph. Then write an equation to represent the relationship. Be sure to define your variables.
InputOutput19218327
answers will vary
500
Nathan sells juice pops at a fair for $1.25 each. The amount of money (m) he makes each day and the number of pops (p) he sells are related, how.
What is money is dependent on how many pops are sold
500
The table shows the total number of flakes of fish food f to feed g goldfish. Write an equation to represent the relationship between f and g.
Number of Goldfish, g Number of Flakes of Fish Food, f
1 18
2 33
3 48
4 63
f=
What is f= 15g+3
500
The table shows the number of dollars Jorge and Cindya earned in allowance over the past four months. If the pattern continued, how much more money did Cindya earn than Jorge after 9 months?
Months Jorge's Allowance ($) Cindya's Allowance ($)
1 9 11
2 18 22
3 27 33
4 36 44
Cindya earned $? more than Jorge after 9 months
What is 18
500
The graph shows the total distance a cyclist rode. Write an equation that could be used to find the total distance the cyclist rode for any number of hours.
what is d=15h + 0
500
Faith teaches piano lessons. Each week she must practice and prepare 3 new musical pieces to teach.
Represent the relationship between the number of weeks, w, and the total pieces Leighton practices, p, with an equation and a table.
The equation p = ______w represents this relationship.
Number of Weeks, w Total Pieces,p
1 ?
2 ?
3 ?
Then graph it
What is
p=3w
3
6
9