Question

Which of the following is the most appropriate unit to describe the rate at which water flows over Niagara Falls?.A) Day per billion gallons, because the independent quantity is volume of water in billion gallons and dependent quantity is time in days. B) Billion gallons per day, because the independent quantity is volume of water in billion gallons and dependent quantity is time in days. C) Billion gallons per day, because the independent quantity is time in days and dependent quantity is volume of water in billion gallons. D) Day per billion gallons, because the independent quantity is time in days and dependent quantity is volume of water in billion gallons.

Answer 1

Answer: C) Billion gallons per day, because the independent quantity is time in days and dependent quantity is volume of water in billion gallons.

Explanation:

The rate of change for any function tells the change in dependent variable for every change in independent variable.

In option A and B , time is given to be dependent quantity but time is not dependent quantity, it is independent quantity and volume of water depends on it.

Thus the rate of at which water flows must be change in the volume of water for every change in the time.( which means D is also incorrect)

Therefore, C is the right answer.

The rate of at which water flows over Niagara Falls= Billions gallons per day.

Answer 2

Billion gallons per day, because the independent quantity is time in days and dependent quantity is volume of water in billion gallons is the one among the following that is the most appropriate unit to describe the rate at which water flows over Niagara Falls. The correct option among all the options that are given in the question is the third option or option "C".