Question

there were 49 true/false questions on an exam. this was 35% of the total number of questions. (a) create a double number line that can be used to find the total number of questions on the exam.

Explanation:

Step1: Define given values

Let $p = 35\% = 0.35$, $part = 49$. We solve for total $T$ using $\text{part} = p \times T$.

Step2: Rearrange to solve for total

$T = \frac{\text{part}}{p}$

Step3: Calculate total questions

$T = \frac{49}{0.35} = 140$

Step4: Build double number line

Top line (percentages): 0, 35%, 100%
Bottom line (number of questions): 0, 49, 140

Answer:

Double number line:

• Top line (percentage): 0 $

ightarrow$ 35% $
ightarrow$ 100%

• Bottom line (number of questions): 0 $

ightarrow$ 49 $
ightarrow$ 140
Total number of questions: 140