Final answer:
The terms are correctly matched with their definitions for a mathematical context, with abscissa being the set of first coordinates, arithmetic sequence involving a fixed amount known as the common difference, and direct variation describing a relationship where one variable is a constant multiple of another, among others. The matching option (a) 1-f, 2-b, 3-e, 4-c, 5-d, 6-a is correct.
Step-by-step explanation:
To match the terms with their definitions, we need to understand what each term means in the context of mathematics. Let's go through the list:
Abscissa refers to the x-coordinate of a point in a coordinate system, indicating its horizontal position.
An Arithmetic sequence is a sequence of numbers in which each term after the first is obtained by adding a constant, called the common difference, to the previous term.
The Common difference is the fixed amount added on to get to the next term in an arithmetic sequence.
The Constant of variation is the value of k in a direct variation (y = kx) equation, representing the constant ratio between two directly varying quantities.
Direct variation is a relationship between two variables in which one is a constant multiple of the other.
The Domain refers to the set of all possible x-values (first coordinates) which will make the function's formula produce a real number.
Using this understanding, the correct matching between the terms and definitions is:
1-b: Abscissa - The set of first coordinates in a relation
2-e: Arithmetic sequence - The fixed amount added on to get to the next term in an arithmetic sequence
3-c: Common difference - A shift or slide of a graph in the coordinate plane
4-d: Constant of variation - Lines that intersect to form right angles
5-a: Direct variation - A value or values of the variable that make an algebraic sentence true
6-f: Domain - The quantity defined as a change in velocity over a time period
The correct answer is thus option (a): 1-f, 2-b, 3-e, 4-c, 5-d, 6-a.