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A salesperson has 50 shirts to sell and must sell a minimum of 20 shirts. The salesperson sells the shirts for $35 each. The amount of money the salesperson makes for selling x shirts is represented by a function: f(x)=35x What is the practical range of the function?


All multiples of 35 between 0 and 1750, inclusive



All real numbers



All multiples between 700 and 1750, inclusive



All integers from 20 to 50, inclusive

Verified Answer :

Edufirst

Answer: all multiples of 35 between 700 and 1750, inclusive.

Justification:

The range of the function f(x) = 35 x is all the real numbers (zero, positives and negatives). But here you have these restrictions about the domain (this is the possible values of x):

1) x is an integer number (the  number of shirts)

2) x is greater or equal than 20

3) x is less or equal than 50

Then, you have to find f(x) for the limit values

f(20) = 3520 = 700

f(50) = 3550 = 1750

You can see that f(x) is the set 3520, 3521, 3522, 3523, ... until 35*50, i.e. all the multiples of 35 between 700 and 1750, inclusive.

younglargeamount

After 3 looong years i found the answer  all multiples of 35 between 700 and 1750, inclusive.