Write Equations to Represent Relationships Between Two Variables

6.AT.11 · Unit 9 · Lesson 3

Name   Period

Objectives / Objetivos

Content Objective: I can write an equation from a table or a graph to model the relationship between the dependent and independent variables.

Language Objective: I can define the variables in my equation and explain what each part represents using the words equation, variable, and rate.

Key Idea / Idea clave

Writing Two-Variable Equations. Formula: y = kx | Dependent = (Unit Rate) × Independent. 1. Identify the independent variable (x) and dependent variable (y). 2. Find the constant unit rate (k = y ÷ x). 3. Write the equation relating the two variables: y = kx (or y = x + c)

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
equation
ecuación		A mathematical sentence with an equals sign that shows two amounts are the same.
Una oración matemática con un signo igual que muestra que dos cantidades son iguales.
variable
variable		A letter that represents a quantity that can change, or vary.
Una letra que representa una cantidad que puede cambiar o variar.
rate
tasa		A fixed amount of one quantity for every one unit of the other quantity.
Una cantidad fija de una cantidad por cada unidad de la otra cantidad.
represent
representar		To show a relationship using a tool such as a table, a graph, or an equation.
Mostrar una relación usando una herramienta como una tabla, una gráfica o una ecuación.
define the variables
definir las variables		To state exactly what quantity each letter in an equation stands for.
Decir exactamente qué cantidad representa cada letra de una ecuación.

Practice Preview / Vista previa de práctica

  1. Recreation World charges $24.95 per month. What is the total cost of 2 months of membership?
    1. $49.90
    2. $26.95
    3. $24.95
    4. $74.85
  2. Using c = 24.95m, what is the total cost of 10 months of membership?
    1. $249.50
    2. $34.95
    3. $224.55
    4. $2,495.00
  3. Using c = 15h, what is the total cost of a 5-hour canoe rental?
    1. $75
    2. $20
    3. $60
    4. $80
  4. Miguel wants the cost of a full year (12 months) at Recreation World. Using c = 24.95m, what is the total?
    1. $299.40
    2. $249.50
    3. $36.95
    4. $300.00

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: