the number N of aluminum cans used each year varies directly as the number of people P using the cans if 55 people use 13,805 cans in one year how many cans are used in a cith which has a population of 1,469,000 what is the number of cans used.
(1,469,000 / 55) * 13,805 = ?
To solve this problem, we need to use the concept of direct variation. In this case, the number of aluminum cans used (N) varies directly as the number of people using the cans (P).
We are given that when 55 people use the cans, 13,805 cans are used in one year. This provides us with a ratio of cans to people:
N1 / P1 = N2 / P2
where:
N1 = number of cans used (13,805 cans)
P1 = number of people using the cans (55 people)
N2 = number of cans used in the city (unknown)
P2 = population of the city (1,469,000 people)
We can set up the equation and solve for N2:
N1 / P1 = N2 / P2
Substituting the known values:
13,805 / 55 = N2 / 1,469,000
To solve for N2, we can cross-multiply and then divide:
13,805 * 1,469,000 = 55 * N2
20,275,345,000 = 55 * N2
N2 = 20,275,345,000 / 55
Calculating this, we find that N2 ≈ 368,550,818.1818 (rounded to the nearest whole number).
Therefore, in a city with a population of 1,469,000 people, approximately 368,550,818 cans would be used.