Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
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
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.