Answer:
All integers from 0 to 25, inclusive
Step-by-step explanation:
The amount of money the florists makes for selling x flower arrangements is represented by a function:
f(x)=15x
The domain of the function f(x) is the set of all the possible values of x.
Here x represents the number of flower arrangements sold.
A florist has 25 flower arrangements to sell.
Now, there are 25 flower arrangements
So, the flower arrangements sold can be:
0,1,2,....25
So, domain is all integers from 0 to 25,inclusive
The domain defines the values of numbers of flower arrangements that
can be expected from the florist.
The practical domain of the function is; All integers from 0 to 25, inclusive.
Reasons:
The number of flower arrangements the florist has to sell = 25
The given function for the amount made from selling x flower arrangement
is f(x) = 15·x
Required:
The practical domain of the function if the florist sells 25 flower
arrangements.
Solution:
The domain of the function = The possible number of flower arrangements
that can be sold
The possible number of flower arrangements that can be sold = Whole
numbers from 0 to 25
Therefore;
The possible number of flower arrangements that can be sold = 0 ≤ x ≤ 25
Where;
x = An integer
Which gives;
The domain of the function, D = {0 ≤ x ≤ 25 | x ∈ Z}
Therefore;
The practical domain of the function if the florist sells 25 flower
arrangements is D = All integers from 0 to 25, inclusive.
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