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February 13, 2017

Feb 17­7:21 AM

Module 12

Lesson 2

Independent and dependent variables in tables and graphs

Objective: Use variables to represent two quantities in a real world problem that change in a relationship to one another; analyze the relationship between the dependent and independent variables.

Feb 17­7:23 AM

Dependent variable

the quantity that depends on the other quantity

Independent variable

the quantity that the dependent variable depends on

Feb 17­7:25 AM

Lets look at explore activity 1 on page 337

Identifying independent and dependent variables from a table

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The table below shows a relationship between two variables, x and y. Describe a possible situation the table could represent. Describe the independent and dependent variables in this situation.

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Feb 17­11:47 AM

Lets look at explore activity 2 on page 338

Identifying independent and dependent variables from a graph

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The.graph.below.shows.a.relationship.between.two.variables,.x.and.y..Describe a.possible.situation.the.graph.could.represent..Describe.the.independent.anddependent.variables.

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3

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What are the dependent and independent variables?

The graph shows the relationship between the number of tickets Lisa isordering for a raffle and the cost. Use the graph to answer questions 1–3.

4

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Is the relationship between the two variables additiveor multiplicative?

The graph shows the relationship between the number of tickets Lisa isordering for a raffle and the cost. Use the graph to answer questions 1–3.

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Describe the relationship between the two quantitiesin words.

The graph shows the relationship between the number of tickets Lisa isordering for a raffle and the cost. Use the graph to answer questions 1–3.

6

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Describe a possible situation that can be represented by the table. Identify thedependent and independent variables in this situation.

Use the table for question 4.

Feb 17­12:01 PM

Complete page 341 numbers 8 and 10

Feb 17­12:01 PM

hrw

12.2 student interactive

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February 13, 2017

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Additional Example 1

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A

Sample.answer:.The.table.couldrepresent.the.amount.a.personearns.at.a.rate.of $8.per.hour.The.independent.variable,.x,.isthe.number.of.hours.the.personworks..The.dependent.variable,.y,is.the total.earnings.

The table below shows a relationship between two variables, x and y. Describe a possible situation the table could represent. Describe the independent and dependent variables in this situation.

Independent and Dependent Variables in Tables and Graphs

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Additional Example 1

The.graph.below.shows.a.relationship.between.two.variables,.x.and.y..Describe a.possible.situation.the.graph.could.represent..Describe.the.independent.anddependent.variables.

B

Sample answer: The graph could representthe progress of a rock climber, starting at a2­foot height and continuing at a pace of 1 foot every second. The independent variableis the number of seconds, and the dependentvariable is the total number of.feet.climbedafter.x.seconds.

Independent and Dependent Variables in Tables and Graphs

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Independent and Dependent Variables in Tables and Graphs

Lesson Quiz

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What are the dependent and independent variables?

The graph shows the relationship between the number of tickets Lisa isordering for a raffle and the cost. Use the graph to answer questions 1–3.

Independent.variable,.x,.is.the.number.of.tickets bought;dependent.variable,.y, is.the.total.cost.

1.

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Lesson Quiz

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Is the relationship between the two variables additiveor multiplicative?

The graph shows the relationship between the number of tickets Lisa isordering for a raffle and the cost. Use the graph to answer questions 1–3.

It is an additive relationship.

2.

Independent and Dependent Variables in Tables and Graphs

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Lesson Quiz

5/6

Describe the relationship between the two quantitiesin words.

The graph shows the relationship between the number of tickets Lisa isordering for a raffle and the cost. Use the graph to answer questions 1–3.

The total cost is the number of tickets bought plus $5for postage for the tickets.

3.

Independent and Dependent Variables in Tables and Graphs

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Lesson Quiz

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Use the table for question 4.

Describe a possible situation that can be represented by the table. Identify thedependent and independent variables in this situation.

4.

Sample answer: Parking at the airport costs $7 per day. Independent variable, , is the number of days a vehicle is parked; dependent variable, , is the totalcost for parking. x y

Independent and Dependent Variables in Tables and Graphs

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February 13, 2017

Feb 10­9:14 AM