Sangeetha Pulapaka
0

The formula for exponential growth is

y = a(1+r)^{t}


where a is the initial amount, r is the rate of increase expressed as a decimal, t is the time elapsed, and y is the final amount.

Plug in 33,000 mega liters for the initial amount, 0.1 for the rate of increase, and 18 years for the time elapsed.


y = a(1 + r)t

y = 33,000(1 + 0.1)18

y = 33,000(1.1)

y ≈ 33,000(5.5599173)

y ≈ 183,477.2709


Round to the nearest hundredth.


183,477.2709 → 183,477.27


To the nearest hundredth, Stafford will use 183,477.27 mega liters of water annually.




Skills to further recall:


What is exponential growth and exponential decay

https://courses.lumenlearning.com/waymakercollegealgebra/chapter/exponential-growth-and-decay/

What is an exponential function

https://virtualnerd.com/algebra-2/exponential-logarithmic-functions/exponentials/exponential-functions/function-definition

How to calculate a value to the nearest hundredth

https://www.khanacademy.org/math/arithmetic-home/arith-place-value/arith-rounding/v/rounding-to-the-nearest-100