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So pattern B is the second number in each of these pairs. And it's just always 3. So there's a couple of ways you can think about it.
Interpreting relationships in ordered pairs
You could just say, pattern B's always 3. You could say pattern B starts at 3, and we're just adding 0 every time. Or you could say that pattern B starts at 3, and we are multiplying by 1 every time.
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Either of those would give you just 3 showing up over and over again. So now that we've looked at these pairs, we show the corresponding terms for pattern A and pattern B, let's look at the choices here and see which of these apply. In pattern A, you can get from any term to the next by multiplying by a constant number.
Well, that looks right. We go from the first term to the second term by multiplying by 2.
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Then we multiply by 2 again to get to the third term. Then we keep multiplying by 2. So that constant number that we're multiplying by to get to the next term is 2. So this looks right.
The next pair should be 52 comma 3. So let's think about this. If we keep doubling for pattern A-- so this is going to be times 2. And then if we'd say that this is 1 times the previous term, we're just going to get a 3 again. So it should be 64 comma 3 should be the next one.
They say the next pair should be 52 comma 3. So that's not right. If we graph the pairs, the points will be on the same line. So let's think about that a little bit.
Let's think about that. So this is my vertical axis. This is my horizontal axis. On the horizontal axis, I will graph pattern A. And on my vertical axis, I will graph pattern B. Pattern A goes all the way up to So I'm going to try my best here. So let's say that this is Then half of that is going to be Half of that is going to be 8. Half of that is going to be 4.
Half of that is going to be 2.