Question

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

Answer 1

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

Answer 2

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) = 35*20 = 700

f(50) = 35*50 = 1750

You can see that f(x) is the set 35*20, 35*21, 35*22, 35*23, ... until 35*50, i.e. all the multiples of 35 between 700 and 1750, inclusive.