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Question 1160016: List or describe the elements in the domain of your real world example
Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!
Remember that DOMAIN describes the values that x (or the independent variable) can
be in the problem and RANGE describes the values that y (or the dependent
variable) can be in the problem.
A local youth group is planning a trip to a local amusement park.
They are taking their church bus which holds people.
It will cost $ for parking and tickets to enter the park are $ per person.
The equation that models this situation is:
where represents the for the group to go the park and represents the number of people who go on this excursion.
In this problem, for the domain, the problem says that the bus can only hold people,
so I know that my domain has to be less than or equal to .
However, since negative numbers are also less than and I can’t have negative people (my independent variable), I have to have a lower limit on my domain of .
so, domain is:
List the elements: = , , ,.....
To find the range values, I simply use the limits I set on the domain and substitute those
values into my equation to find my limits on the range.
n=0
so, the range is:
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