Question

there are 36 students at elmdale middle school who play on a sports team. this is 15% of the total number of students.
(a) create a double number line that can be used to find the total number of students at the school.
(b) what is the total number of students at the school?

Explanation:

Step1: Define variables and relationship

Let $T$ = total students. We know $15\% \times T = 36$, or $0.15T = 36$.

Step2: Solve for total students

Rearrange to solve for $T$:
$$T = \frac{36}{0.15}$$

Step3: Calculate the value

$$T = 240$$

Step4: Set up double number line

Left number line (percent): 0, 15, 100
Right number line (students): 0, 36, 240

Answer:

(a) Double number line:
Left (percent): 0, 15, 100
Right (students): 0, 36, 240
(b) 240 students