Question

If you know that a relationship is proportional and are given one ordered pair that is not (0, 0), how can you find another pair?

a) Multiply the given pair by a constant to find another pair.
b) Add the given pair to (0, 0) to find another pair.
c) Divide the given pair by a constant to find another pair.
d) Subtract the given pair from (0, 0) to find another pair.

Answer 1

To find another ordered pair in a directly proportional relationship, multiply both elements of the given pair by the same nonzero constant.

Step-by-step explanation:

If a relationship is directly proportional and you are given an ordered pair that is not (0, 0), finding another pair involves using a constant. The correct answer to this question is (a) Multiply the given pair by a constant to find another pair. In a directly proportional relationship, if you have a pair (x, y), you can find another pair by multiplying both x and y by the same nonzero constant, k. The resulting pair (kx, ky) is also part of the proportional relationship. For example, if the given pair is (2, 3) and you choose a constant k = 2, then another pair in the relationship would be (2*2, 3*2), which is (4, 6).