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) what was the total number of teens in the survey?
teens

Explanation:

Step1: Define given values

Let $p = 15\% = 0.15$, $n = 30$ (teens who like the game)

Step2: Set up total population formula

Let $T$ = total teens. Use $n = p \times T$, rearrange to $T = \frac{n}{p}$

Step3: Calculate total teens

$$T = \frac{30}{0.15} = 200$$

Step4: Build double number line

Top line (percent): 0, 15%, 100%
Bottom line (number of teens): 0, 30, 200

Answer:

(a) Double number line:
Top line (percentage): 0, 15, 100
Bottom line (number of teens): 0, 30, 200
(b) 200 teens