What is the practical domain of the function?
(a) {31, 55, 79, 103, 127, 151, 175, 199}{31, 55, 79, 103, 127, 151, 175, 199}
(b) {1, 2, 3, 4, 5, 6, 7, 8}{1, 2, 3, 4, 5, 6, 7, 8}
(c) all real numbers from 1 to 8, inclusive
(d) all real numbers
The correct answer is:
(b) {1, 2, 3, 4, 5, 6, 7, 8}
Explanation:
In this problem, we use the variable c to represent the independent quantity. This means that the domain is all possible values for c.
Since the store only has 8 cases of water, the domain cannot be any number larger than 8.
Since the store only sells complete cases, not partial cases, of water, the domain cannot be a fraction or decimal number.
This means that the practical domain, or domain that makes sense for the problem situation, is {1, 2, 3, 4, 5, 6, 7, 8}.
The practical domain of the function is all positive integer because c represents the number of case, and there is no negative number of case and it is not sold in partial so only positive integer can satisfy the given function.
A.
0.12%
B.
6.5%
C.
6.9%
D.
11.8%
The perimeter of a square is four times the side, since you have to sum all sides, and they're all the same length:
This is direct variation, because we have
and if the ratio between two variables is constant (in this case, 4), then the two variables are in direct variation.
The perimeter of a square is directly proportional to its side length, therefore it's an example of direct variation.
Yes, the perimeter (P) of a square with side length (n) is an example of direct variation. In this case, P is directly proportional to n. To understand this, think of a square. A square has four equal sides. Thus, its perimeter (P) is n times 4, or P = 4n. If n is increased, the perimeter also increases proportionally, which supports that it's a direct variation relationship. A change in one quantity leads to a proportional change in the other one.
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