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Lesson 8: Understand Dependent and Independent Variables — Practice Questions

  1. 1. A streaming plan's monthly cost, $c$, depends on the number of screens, $s$, allowed. In this relationship, the number of screens, $s$, is the ___ variable. (enter "independent" or "dependent")

  2. 2. The remaining battery percentage, $p$, of a smartphone is affected by the hours of video playback, $h$. Which variable is the dependent variable in this situation?

    • A. The remaining battery percentage, $p$.
    • B. The hours of video playback, $h$.
    • C. Both $p$ and $h$.
    • D. Neither $p$ nor $h$.
  3. 3. The total time, $T$, it takes to fill a swimming pool depends on the pool's volume, $V$, and the flow rate of the hose, $R$. The pool's volume, $V$, is an ___ variable. (enter "independent" or "dependent")

  4. 4. A chef notes the final temperature of a soup, $T$, depends on how many minutes it simmers, $m$. A student argues that $m$ is dependent because the chef chooses $m$ based on the target $T$. Which statement is true?

    • A. The simmering time, $m$, is the dependent variable because the chef chooses it.
    • B. The soup's temperature, $T$, is the independent variable because it's the goal.
    • C. The simmering time, $m$, is the independent variable because it causes the temperature to change.
    • D. Both $T$ and $m$ are independent variables.
  5. 5. The resale value of a textbook, $v$, decreases based on its age in years, $y$. In this relationship, the resale value, $v$, is the ___ variable. (enter "independent" or "dependent")

  6. 6. A streaming service has a monthly fee. Let $c$ be the total cost for a subscription and $m$ be the number of months subscribed. Which is the dependent variable?

    • A. The total cost, $c$
    • B. The number of months, $m$
    • C. Both $c$ and $m$
    • D. Neither $c$ nor $m$
  7. 7. A hose fills a swimming pool. The volume of water in the pool, $V$, is measured after the hose has been running for $t$ hours. The independent variable is ___.

  8. 8. The time, $t$, it takes to download a large file is a dependent variable. Which of the following is a possible independent variable that affects the download time?

    • A. The size of the file in gigabytes
    • B. The cost of the computer
    • C. The brand of the router
    • D. The rating of the movie being downloaded
  9. 9. A phone's remaining battery percentage, $b$, is tracked over several hours of use, $h$. In this relationship, the independent variable is ___.

  10. 10. The total cost, $C$, of a pizza order is a dependent variable. Which of these pairs are both independent variables that can affect the total cost?

    • A. The number of toppings and the delivery driver's name
    • B. The size of the pizza and the number of toppings
    • C. The time of delivery and the type of car used
    • D. The total cost and the size of the pizza