Asalesperson 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

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.

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)