Question

Suppose America’s consume 32,000 564,000,000 tons MT of weight in 2014 this was 4.66% decrease from the previous year which equation predicts the weight consumption in 2021?

Answer 1

The exponential function that predicts the weight consumption in 2021 is given by:

y = 32,564,000,000(0.9534)^7.

What is an exponential function?

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

• A(0) is the initial value.

• r is the decay rate, as a decimal.

In this problem:

• In 2014, the consumption was of 32,564 million tons, hence A(0) = 32,564,000,000.

• The decay rate is of 4.66%, hence r = 0.0466.

Then, the equation is:

$y(t) = A(0)(1 - r)^t$

$y(t) = 32,564,000,000(1 - 0.0466)^t$

$y(t) = 32,564,000,000(0.9534)^t$

2021 is 7 years after 2014, hence:

y = 32,564,000,000(0.9534)^7.

More can be learned about exponential functions at https://brainly.com/question/25537936