Question

There are approximately 26 billion ounces of a water left in a natural spring, and every year humans consume about 150 million ounces of it. Let V stand for the volume (in millions of ounces) of spring water remaining, and t stand for the number of years since 2018. What linear equations could model the decreasing supply of water in this particular spring?

Answer 1

V(t) = 26,000 - 15t

Explanation:

Given the following :

Initial approximate volume of water = 26 billion ounces

Yearly consumption = 150 million ounces

Let V = volume remaining

Linear equation to model decreasing supply of water.

Volume left = Initial volume - consumption

Consumption = 150 million per year

Consumption after t years = 150 million * t

Volume left = 26,000,000,000 - 150,000,000t

V = 26,000,000,000 - 150,000,000t

Divide by 1,000,000

V(t) = 26,000 - 15t