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?240 students

Explanation:

Step1: Define variables for total students

Let $x$ = total number of students.
We know $15\%$ of $x$ = 36, so:
$$0.15x = 36$$

Step2: Solve for total students

Rearrange to isolate $x$:
$$x = \frac{36}{0.15}$$
$$x = 240$$

Step3: Complete double number line

For the student line: Each interval is 15 students (0 to 15 is first mark). To reach 240 (100%), we confirm the final mark on the student line is 240.
For the percent line: Each interval is $15\%$ (0 to 15% is first mark). 100% aligns with 240 students.

Answer:

(a) The double number line will have the right (Students) line marked with 240 at the end (aligning with 100% on the left Percent line), with intermediate marks 0, 15, 30, 45, 60, 75, 90, 105, ..., 240; the left (Percent) line has marks 0, 15, 30, 45, 60, 75, 90, 105, ..., 100.
(b) 240 students