Question

There are approximately 8 billion ounces of a water left in a natural spring, and every
year humans consume about 13 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. Which of the following linear equations could modll the decreasing supply of
water in this particular spring?
OV (t) = 8000 – 13t
OV (t) = 8000t – 13
OV (t) = 8 – 13t
OV (t) = 13000 – 8t
OV (t) = 13t - 8

Answer 1

We need to find the equation that represents the amount of fresh water left in a natural spring which initially has 8 billion ounces of water.

The equation that represents the situation is $V(t)=8000-13t$

$1\ \text{billion}=1\times 10^9$

$1\ \text{million}=1\times 10^6$

Total amount of water left is

$8\ \text{billion ounces}\\ =8\times 10^9\ \text{ounces}\\ =(8\times 10^3)\times 10^6\ \text{ounces}\\ =8000\ \text{million ounces}$

Yearly consumption of water $13\ \text{million ounces}$

t = Years since 2018

The required function is in million ounces which is $V(t)=8000-13t$

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