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?

The remaining battery percentage, $p$.

The hours of video playback, $h$.

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?

The simmering time, $m$, is the dependent variable because the chef chooses it.

The soup's temperature, $T$, is the independent variable because it's the goal.

The simmering time, $m$, is the independent variable because it causes the temperature to change.

Both $T$ and $m$ are independent variables.

Patterns, Tables, and Algebraic Rules Practice — Grade 6 math

Lesson 9: Patterns, Tables, and Algebraic Rules — Practice Questions

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. 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. 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. 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. 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. A car travels at a constant speed of 55 miles per hour. Write an equation for the total distance $d$ traveled in $h$ hours. The equation is $d$ = ___.
7. A gym membership costs 25 dollars per month, plus 5 dollars per fitness class. Which equation represents the total monthly cost $C$ for attending $c$ classes?
- A. $C = 25c + 5$
- B. $C = 5c + 25$
- C. $C = 25 - 5c$
- D. $C = 30c$
8. A water tank starts with 100 gallons. Water is added at a rate of 20 gallons per minute. Write an equation for the total volume $V$ after $t$ minutes. The equation is $V$ = ___.