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.

Represent Proportional Relationships with Equations Practice — Grade 7 math

Lesson 2-4: Represent Proportional Relationships with Equations — 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 proportional relationship is described by the equation $y = 8x$. If $x = 9$, what is the value of $y$? $y$ = ___
7. Given the proportional equation $y = 6x$, find the value of $x$ when $y = 54$. $x$ = ___
8. The total cost ($c$) to download a number of songs ($s$) is given by the equation $c = 2s$. If the total cost was 18 dollars, how many songs were downloaded?
- A. 36 songs
- B. 20 songs
- C. 9 songs
- D. 16 songs
9. In the proportional equation $y = kx$, if you know the values of $y$ and $k$, what is the correct step to find the value of $x$?
- A. Multiply $y$ by $k$.
- B. Divide $y$ by $k$.
- C. Add $k$ to $y$.
- D. Subtract $k$ from $y$.
10. The number of pages ($p$) a person reads in a certain number of minutes ($m$) is represented by $p = 3m$. How many pages can the person read in 12 minutes? ___ pages