Question

To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation g = 748u, where g is the total number of gallons of water used and u is the number of units.

Answer 1

The correct question is: To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation g = 748u, 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.

a). g is the dependent variable.

b). u is the dependent variable.

c). g is the independent variable.

d). u is the independent variable.

e). The two variables cannot be labeled as independent or dependent without a table of values.

The correct answer is option (a). g is the dependent variable, and (d). u is the independent variable.

• The given equation g = 748u means that  "g" is 748 times the multiple of "u". Since "g" is a multiple of "u", we can say that the value of '"g" depends on the value of "u". Hence, option (a) is correct and option (c) is incorrect.
• The given equation shows that "u" is not a multiple of "g". So the number of units u" is an independent variable. Hence, option (d) is correct and option (b) is incorrect.
• We can label the given variables  "u" and "g" as either independent or dependent with the help of the given equation. Hence, the option (e) is also incorrect.
• An independent variable is any variable, that can be attributed a value without attributing a value to any other variable.
• A dependent variable is the variable whose value will change depending on the value of another variable.

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Answer 2

Answer:

As a result, choice (a) is accurate while choice

Step-by-step explanation:

According to the preceding equation, "g" is a multiple of "u" by a factor of 748, or g = 748. Given that "g" is a multiple of "u," we may state that "g's" value relies on "u's" value. As a result, choice (a) is accurate while choice (c) is mistaken.

According to the provided equation, "u" is not a multiple of "g." Unit count (u) is therefore an independent variable. As a result, choice (d) is accurate while choice (b) is flawed.

With the use of the provided equation, we may designate the variables "u" and "g" as either independent or dependent. As a result, choice (e) is likewise inaccurate.

Any variable that may be assigned a value without also assigning a value to another is an independent variable.

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