Question

samuels middle school had a week of giving charity drive. the table below shows the number of participants per day.

\

$$\begin{array}{|c|c|} \\hline \\text{day} & \\text{number of participants} \\\\ \\hline 1 & 64 \\\\ \\hline 2 & 88 \\\\ \\hline 3 & 112 \\\\ \\hline 4 & 136 \\\\ \\hline 5 & 160 \\\\ \\hline \\end{array}$$

what is the constant of proportionality, or unit rate, for the increase in the number of participants?

a. 12 people per day
b. 32 people per day
c. 24 people per day
d. 44 people per day

Explanation:

Identify the rate of change from the table

$$
LATEXBLOCK0
$$

Calculate the unit rate of increase

$$ \text{Unit Rate} = \frac{\Delta \text{Participants}}{\Delta \text{Day}} = \frac{24}{1} = 24\text{ people per day} $$

Verify the rate across other days

$$
LATEXBLOCK1
$$

Answer:

• A. 12 people per day
• B. 32 people per day
• C. 24 people per day (Correct answer)
• D. 44 people per day