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A florist has 25 flower arrangements to sell. The amount of money the florists makes for selling x flower arrangements is represented by a function.

f(x)=15x


What is the practical domain of the function if the florist sells 25 flower arrangements?

All integers from 0 to 25, inclusive

All real numbers

All integers from 0 to 15, inclusive

All multiples of 15 between 0 and 375, inclusive

Verified Answer :

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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