Concept explainers
(a)
To Calculate:
How many tons were sent to the landfill in 2010 .
(a)
Answer to Problem 43PPS
605.2 tons
Explanation of Solution
Given Information:
In 1998 , amount of waste sent to landfills = 946 tons.
Each year , reduced waste = 28.4 tons.
Calculation:
First , we form the equation :
Let x is the number of years since 1998
y is the tons sent to the landfill after x years
So, the equation of tons sent to the landfill after x years is given by:
Now, number of years from 1998 to 2010
(b)
To Calculate:
In what year will it become impossible for this trend to continue.
(b)
Answer to Problem 43PPS
2032
Explanation of Solution
Given Information:
In 1998 , amount of waste sent to landfills = 946 tons.
Each year , reduced waste = 28.4 tons.
Calculation:
First , we form the equation :
Let x is the number of years since 1998
y is the tons sent to the landfill after x years
So, the equation of tons sent to the landfill after x years is given by:
It will be impossible for the trend to continue when waste sent becomes 0.
That is , when y = 0.
Since no waste will be left to be sent to the landfills , so the trend will no longer continue.
Substituting y = 0 in equation (1)
So, after 33 years since 1998 , the waste will become 0.
Hence,
So, the waste will become 0 in 2031.
Hence, there will be nothing left to be sent to landfills after 2031. So, the trend will stop in the year 2032.
Chapter 4 Solutions
Algebra 1
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