Question

HELP PLZ GIVING BRAINIEST
MODELING WITH MATHEMATICS The linear function m=55-8.5b represents the amount m (in dollars) of money that you have after buying b books.

1. Find the domain of the function, is it A, B, C, or D
A.)0, 1, 2, 3, 4, 5, 6$

B.)-1.5,-2.5,-3.5,-4.5,-6.5,-7.5,-8.5

C.)all real numbers greater than $0$

D.)all whole numbers less than $100$

2.
Is the domain discrete or continuous? Explain.

The domain is _____ because the amount of ____ must be a ______ number.
^ ^ ^
Discrete or continuous books or money decimal or whole number

Answer 1

Answer:

1. A

2. The domain is discrete set.

The domain is discrete because the amount of books must be a whole number.

Step-by-step explanation:

The linear function $m=55-8.5b$ represents the amount m (in dollars) of money that you have after buying b books.

You can buy 0 books, 1 book, 2 books, but cannot buy 1.5 book or -2 book.

The greatest possible number of book is when

$55-8.5b\ge 0\\ \\8.5b\le 55\\ \\b\le 6\dfrac{8}{17}$

Thus, the greatest possible number of books you can buy is 6.

1. The domain of the function is

$\left\{0,1,2,3,4,5,6\right\}$

2. The domain is discrete set.

The domain is discrete because the amount of books must be a whole number.