Answer:
Approximately 62 gallons of water will be used by Lee County by the year 2025.
Step-by-step explanation:
The amount, in millions gallons of water, spent by Lee County, in t years after 2019, is given by the following equation:
[tex]P(t) = P(0)(1 + r)^{t}[/tex]
In which P(0) is the amount spent on 2019 and r is the increse rate, as a decimal.
In the year 2019, Lee County used approximately 55 million gallons of water.
This means that [tex]P(0) = 55[/tex]
Historical trends show that each year the water demand is increasing by a rate of approximately 2.1%.
This means that [tex]r = 0.021[/tex]
So
[tex]P(t) = P(0)(1 + r)^{t}[/tex]
[tex]P(t) = 55(1 + 0.021)^{t}[/tex]
[tex]P(t) = 55(1.021)^{t}[/tex]
Approximately how many million gallons of water will be used by Lee County by the year 2025?
2025 is 2025 - 2019 = 6 years after 2019. So this is P(6).
[tex]P(t) = 55(1.021)^{t}[/tex]
[tex]P(6) = 55(1.021)^{6}[/tex]
[tex]P(6) = 62.3[/tex]
Rounded to the nearest millions
Approximately 62 gallons of water will be used by Lee County by the year 2025.
