Answers (Anticipation Guide and Lesson 7-1) | Copyright c glencoe ... - Free Printable

Let’s go step by step to solve this problem.

We are given a table with two columns: “Input” and “Output”. We need to find the rule that turns each Input into its Output, then use that rule to fill in the missing values.

Here’s what we see:

- When Input = 1 → Output = 3
- When Input = 2 → Output = 6
- When Input = 3 → Output = 9
- When Input = 4 → Output = ? (missing)
- When Input = 5 → Output = ? (missing)
- When Input = ? → Output = 27 (we need to find the input)
- When Input = ? → Output = 30 (we need to find the input)

Let’s look at the pattern:

From Input 1 to Output 3:
1 × 3 = 3 ✔

From Input 2 to Output 6:
2 × 3 = 6 ✔

From Input 3 to Output 9:
3 × 3 = 9 ✔

So the rule is: Multiply the Input by 3 to get the Output.

Now let’s apply it:

For Input = 4:
4 × 3 = 12 → So Output = 12

For Input = 5:
5 × 3 = 15 → So Output = 15

Now for Output = 27:
We need to find what number times 3 equals 27.
That’s 27 ÷ 3 = 9 → So Input = 9

For Output = 30:
30 ÷ 3 = 10 → So Input = 10

Let’s double-check all:

- 1 × 3 = 3 ✔️
- 2 × 3 = 6 ✔️
- 3 × 3 = 9 ✔️
- 4 × 3 = 12 ✔️
- 5 × 3 = 15 ✔️
- 9 × 3 = 27 ✔️
- 10 × 3 = 30 ✔️

Everything matches!

Final Answer:
The missing outputs are 12 and 15. The missing inputs are 9 and 10.