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:
[tex]A(t) = A(0)(1 - r)^t[/tex]
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:
[tex]A(t) = 125000(1 - 0.02)^t[/tex]
[tex]A(t) = 125000(0.98)^t[/tex]
2020 is 3 years after 2017, hence the amount is:
[tex]A(3) = 125000(0.98)^3 = 117649[/tex]
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 https://brainly.com/question/25537936
