III) The municipality of New York supplies 2 million cubic metres of water per month to the city of New York. If a household consumes about 30killo-littres of water per month, estimate the number of residents in New York ,assuming that a household has five members on everage.
Let N = no. of residents
N/5 = number of households
1 cubic meter = 10^6 cubic cm = 1000 liters = 1 kiloliter
Monthly consumption = (N/5)*30 kiloliter
= 2*10^6 kiloliter
This results in N = 1/3 million.
That is too low. I question the figures you provided.
According to
http://www.nytimes.com/2006/10/03/nyregion/03water.html?_r=1
New York City's daily consumption is 1.1 billion gallons, which would make the monthly consumption 33 billion gallons or 8.5 billion liters or 8.5 million kiloliters, not 2 million.
To estimate the number of residents in New York City, we can first find the number of households by dividing the total water supply by the average water consumption per household.
Step 1: Convert 2 million cubic meters to kiloliters.
1 cubic meter = 1000 kiloliters.
So, 2 million cubic meters = 2,000,000 * 1000 kiloliters = 2,000,000,000 kiloliters.
Step 2: Divide the total water supply by the average water consumption per household.
2,000,000,000 kiloliters ÷ 30 kiloliters/household = 66,666,666.67 households
Step 3: Calculate the number of residents by multiplying the number of households by the average number of members per household.
66,666,666.67 households × 5 members/household = 333,333,333.33 residents
Therefore, the estimated number of residents in New York City is approximately 333,333,333.