Question

PLEASE HELPPP

Answer 1

Using an exponential function, it is found that the total amount of waste these households are expected to produce in 2020 is of 117,649 tones.

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, we have that:

• The households produced a total of 125 000 tonnes of waste in 2017, hence A(0) = 125000.

• The total amount of waste is expected to fall by 2% each year, hence r = 0.02.

Thus, the equation is:

$A(t) = 125000(1 - 0.02)^t$

$A(t) = 125000(0.98)^t$

2020 is 3 years after 2017, hence the amount is:

$A(3) = 125000(0.98)^3 = 117649$

The total amount of waste these households are expected to produce in 2020 is of 117,649 tones.

You can learn more about exponential functions at brainly.com/question/25537936