Question
A chemical plant was found to be discharging toxic waste into a waterway. The state in which the chemical plant was located fined the company $125,000 plus $1,000 per day for each day on which the company continued to violate water pollution regulation. Express the total fine as a function of the number of days in which the company remains in non-compliance.
Hint:
We are given fine on a chemical plant company. It is $125000 plus $1000 per day. We have to write the total fine as a function of number of days in which company remains non-compliance. We have to see the constant and variable amount.
The correct answer is:
The fine is $125000 plus $1000 per day.
Let the number of days be x.
Here, the constant is $125000
As the amount $1000 is varying with the number of days. It is the variable quantity. So, we can write it as 1000x.
The total fine is function of number of days. We can denote it as f(x).
The operation between the variable and constant is plus.
Therefore, we can write the function as follows:
f(x) = 1000x + 125000
This is the required function.
For such questions, we should know the concept of function.
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City tours rents bicycles for $10 an hour with a maximum daily fee of $100. Show the cost for renting bicycle for 1, 3, 11, and 20 hours.
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Eg: cost of renting bicycle for 1 hour = $10 x 1 = $10
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The cost of renting a bicycle is $ 100 per day. The maximum fair is $ 100 for any number of hours a day. If we have to find a random number of hrs, we can Multiply the number of hrs by the amount of the rent for that particular hour. That gives the total rent for that particular hour.
Eg: cost of renting bicycle for 1 hour = $10 x 1 = $10
