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Is it a Function? Independent and Dependent

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  • C
  • When Deb was born, her sister was 2 years old. When Deb was 5, her sister was 7. When Deb was 11, her sister was 13. Write a rule showing the relationship between x (Deb's) age and y (Deb's sister's age).
    y = x + 2
  • Draw a table. The values of y are 42, 49, and 56. Find the x values if the rule is y = 7x.
  • For every dollar earned, you save 20 cents. What do x and y represent in the relationship y = 0.20x?
    x = dollars earned , y = cents saved
  • Darla does chores every week in order to save money for a new pair of shoes. She earns $ 20 for every chore she completes. c = number of chores and  s = money saved. ( s = 20c) What is the independent variable?
    c= number of chores
  • A
  • A
  • Name three ordered pairs that represent the rule y = x + 5.
    possible answers (0,5) , (1,6) , (2,7), (3,8) , (4,9), etc
  • A
  • B
  • C
  • Write a multiplicative rule for the ordered pairs (1,5) , (2, 10) , (3,15).
    y = 5x
  • Write a rule to represent the graph shown.
    y = 5x
  • J
  • Write an equation for the following scenario: A company manufactures a total of 74 drinking glasses every hour, with x of the glasses made of clear glass and y of them made of blue glass.
    y=74-x
  • Write an equation for the following scenario: A restaurant serves a total of y meals in one day, in which 74 meals are served during the first hour and x meals are served during the remaining hours.
    y=74 + x
  • Grace is bringing treats to her Algebra 1 class on her birthday. The number of treats she brings is based on the number of students in her class. Which of the variables is independent?
    number of students
  • J
  • Write an equation for the following scenario: A company uses a total of y gallons of water at a rate of 74 gallons per hour for x hours.
    y=74x
  • The cost of downloading one song from a website is $0.99. Write an equation that can be used to find t, the cost in dollars of downloading n songs?
    t=0.99n
  • This graph represents the rule y = 2x. What will the y values be when x is 3, 4, and 5?
    6, 8, 10
  • For every hour worked, Quinn earns $12.50. What is the rule showing the relationship between x (hours worked) and y (money earned)?
    y = 12.50x
  • y=25x
  • Write a rule to represent the graph shown.
    y = 4x
  • In a cornhole game, every beanbag that is tossed through the hole is worth 3 points. Write a rule showing the relationship between x (number of tosses) and y (number of points).
    y = 3x
  • Which graph represents the relationship between x and y in the equation y=3x?
    C
  • Draw a table. The values of x are 0, 1, and 2. Find the y values if the rule is y = x + 3.
  • Write an equation for the following scenario: A restaurant prepares a total of y batches of pizza sauce from 74 pounds of tomatoes, with each batch weighing x pounds.
    y=74/x
  • B
  • On a graph, which axis shows the dependent variable?
    y-axis
  • A
  • B
  • What is the dependent variable in this equation? ( 50 + 4d = C)
    C
  • A
  • Draw a table. The values of x are 2, 4, and 6. Find the y values if the rule is y = x + 11.
  • Jimmy earned $8 for every pizza he delivers. m = money (dollars) p = number of pizzas delivered The dependent variable is:
    m= money