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.
Determine which statements about the relationship are true. Check all that apply.

g is the dependent variable.
u is the dependent variable.
g is the independent variable.
u is the independent variable.
The variables cannot be labeled without a table of values.
The variables cannot be labeled since any value can be selected for either.

Answer 1

Answer:

option (a) and (d) is correct.

Step-by-step explanation:

Given : 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.

We have to check out of given options which statement about the relationship is true.

Since, given relationship is  g = 748u.

We can put any value of u and find the corresponding value of g at that u.

For example

Since, u is the number of units used Let it be 30 units.

Then , we can find g , the total number of gallons of water used

By the relationship as g = 748u

Putting u = 30 , we get g = 748(30) = 22440 gallons.

So, here g depends on u and u is independent variable.

Thus, option (a) and (d) is correct.

Answer 2

We are given equation g = 748u, where g is the total number of gallons of water used and u is the number of units.

We can see that the number of units of water being used by customers.

The number of units of water doesn't depend on the total number of gallons of water used.  

Therefore, the number of units u is an independent variable.

The value of the total number of gallons is totally depends on the number of units used.

Therefore,  the total number of gallons of water used g is a dependent variable.

So, we can conclude following statements:

1) g is the dependent variable.

2) u is the independent variable.