Question

In 1990 (t = 0), the world use of natural gas was 78129 billion cubic feet, and the demand for natural gas was growing exponentially at the rate of 4% per year. If the demand continues to grow at this rate, how many cubic feet of natural gas will the world use from 1990 to 2019?

Answer 1

The world is projected to use approximately 113661.01 billion cubic feet of natural gas from 1990 to 2019.

Step-by-step explanation:

To calculate the natural gas usage from 1990 to 2019, we can use the formula for exponential growth:

A = P(1 + r)^t, where A is the final amount, P is the initial amount, r is the growth rate as a decimal, and t is the number of years.

Given that the initial usage in 1990 was 78129 billion cubic feet and the growth rate is 4% per year, we can plug these values in:

A = 78129(1 + 0.04)^29

Simplifying:

A ≈ 78129(1.04)^29

A ≈ 78129 * 1.4578

A ≈ 113661.01 billion cubic feet

Therefore, the world is projected to use approximately 113661.01 billion cubic feet of natural gas from 1990 to 2019.