Question

consider a residential area. the annual water usage in the area increases at the rate of 5% every year. this year the town used 31,000 mL of water. How much water will be used annually in 20 years?

Answer 1

Answer:

Consumption in the 20th year  = 82252 (nearest unit)

Step-by-step explanation:

Exponential growth problem.

Current consumption (year 0), P = 31000

growth rate, r = 5%

consumption in nth year

P(n) = P(1+r)^n

for the 20th year,

P(20) = P((1+r)^20) = 31000*1.05^20 = 82252.2 m^3  

(note: annual water consumption in a town is likely to be measured by m^3, please double check)

Answer 2

The required volume water will be used 82253 liters.

The annual water usage rate increase 5% annually with current usage is 31000 liters. After 20 years what will be the volume usage? To determine.

what is exponential function?

The function which is in format f(x) =a^x  where, a is constant and x is variable,  the domain of this exponential function  lies   (-∞, ∞).

Here, rate of volume of water usage increasing exponentially by 5%, current usage  = 31000. So Usage for 20th year,
= 31000(1+5%)^20
=31000(1.05)^20
= 82253 liters

Thus, The required volume water will be used 82253 liters.

learn more about exponential function here:

brainly.com/question/15352175

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