to bill customers for water usage, one city converts the number of gallons used into units. this…
to bill customers for water usage, one city converts the number of gallons used into units. this relationship is represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units. determine which statements about the relationship are true. choose two options. g is the dependent variable. u is the dependent variable. g is the independent variable. u is the independent variable. the two variables cannot be labeled as independent or dependent without a table of values.
Answer
Explanation:
Step1: Understand dependent and independent variables
In an equation of the form $y = mx$ (here $u = 748g$), the value of $y$ (or $u$) depends on the value of $x$ (or $g$).
Step2: Identify the variables
The independent variable is the one that can be freely - chosen or changed. The dependent variable's value is determined by the independent variable. In $u = 748g$, the amount of water used in gallons ($g$) can be any non - negative real number that a customer uses. The number of units ($u$) is then calculated based on $g$. So $g$ is the independent variable and $u$ is the dependent variable.
Answer:
- B. $u$ is the dependent variable.
- C. $g$ is the independent variable.