Question

In a survey, there were 30 teens who said they like the new video game Robot Strike. This was 15% of the total number of teens in the survey.
(a) Create a double number line that can be used to find the total number of teens in the survey.
(b) whats the total number of teens in the survey

Answer 1

To solve this problem, we need to find the total number of teens in the survey based on the information given. Here's how we can approach it:

### (a) Creating a Double Number Line

We know that 30 teens represent 15% of the total number of teens. We can set up a double number line as follows:

1. **Percent Line**:
- 0% → 15% → 100%
- 0 → 30 → Total Number of Teens

2. **Teen Count Line**:
- 0 → 30 → X (where X is the total number of teens)

In this case, we can figure out the total number of teens by finding what 100% would be if 30 is 15%.

Here's how it might look conceptually on the double number line:

```
Percent Line: 0% 15% 100%
|------------|--------------|
0 30 X

Teen Count Line: 0 30 ?
```

### (b) Calculating the Total Number of Teens

To find the total number of teens, you can set up the following equation:

\[
30 = 0.15 \times \text{Total number of teens}
\]

Let \( T \) be the total number of teens. Then the equation becomes:

\[
30 = 0.15T
\]

Now, to solve for \( T \), divide both sides by 0.15:

\[
T = \frac{30}{0.15} = 200
\]

### Conclusion
**The total number of teens in the survey is** 200.