please help
Raul is selling coupon books. he started with 50 coupon books and has already won a prize for selling at least 10 coupon books. The total amount of money Raul will make from selling X coupon books as represented by a function.

f(x) = 20x
what is the practical domain of the function?

a) all real numbers
b) all multiples of 20 between 0 and 1000, inclusive
c) all integers from 10 to 50, inclusive
d) all integers from 0 to 50

He started with 50 coupon books and has already won a prize for selling at least 10 coupon books. It means He has a maximum value of 50 coupons and he already sold 10 coupons.He can sell from 10 coupons to 50 coupon books.

The total amount of money Raul will make from selling x coupon books as a function is

f(x) = 20x

The domain of this function is all Real numbers. However, we need a practical domain.Coupon books are integer numbers, 1, 2, 3 we will not have a half book. So, Coupon right now can vary from 10 coupon books to 50 coupon books. It means x can vary from 10 to 50, only integer values and inclusive 10 and 50.

Finally, the answer is C) all integers from 10 to 50, inclusive.

MrRoyal MrRoyal · Answer 2 · 2021-12-02T11:49:51+01:00

The domain of a function is the set of input values the function can take.

The practical domain of the function is (c) all integers from 10 to 50 (inclusive)

The function is given as:

[tex]\mathbf{f(x) = 20x}[/tex]

From the question, we understand that:

He won a prize for selling at least 10
He cannot sell more than 50 (the amount he started with)

This means that the possible values of x are:

x = [10,50]

Hence, the domain of the function is (c) all integers from 10 to 50 (inclusive)