A chef prepares apples for a fruit salad. She cuts each apple into 6 slices. The following patterns can be made:
Pattern A: start with 1 apple and increase by 1 apple
Pattern B: start with 6 slices and increase by 6 slices
Which ordered pairs represent the number of apples from Pattern A and the number of apple slices from Pattern B?
(1, 1), (2, 2), (3, 3)
(1, 6), (2, 7), (3, 8)
(1, 6), (2, 12), (3, 18)
(6, 6), (12, 12), (18, 18)
The correct answer is (2, 12), (3, 18), (4, 24).
For Pattern A, the number of apples increases by 1 for each step, so the ordered pairs would be (1, x), (2, y), (3, z), where x, y, and z represent the number of slices for each respective step.
For Pattern B, the number of slices increases by 6 for each step, so the ordered pairs would be (x, 6), (y, 12), (z, 18), where x, y, and z represent the number of apples for each respective step.
Using these conditions, we can see that option (2, 12), (3, 18), (4, 24) satisfies both patterns.
For example, for the first ordered pair, there is 1 apple which is cut into 6 slices, and for the second ordered pair, there are 2 apples which are cut into 12 slices. This pattern continues for the rest of the ordered pairs.
The correct answer is (1, 6), (2, 12), (3, 18).
In Pattern A, the number of apples starts with 1 and increases by 1. So, we have (1, 1), (2, 2), (3, 3).
In Pattern B, the number of apple slices starts with 6 and increases by 6. So, we have (1, 6), (2, 12), (3, 18).
Therefore, the correct ordered pairs representing the number of apples from Pattern A and the number of apple slices from Pattern B are (1, 6), (2, 12), (3, 18).