Question

1. due to high rates of covid - 19, many people are affected. the impact of these rates is very clear when it reaches small isolated communities. consider rates of infection in a community of 6000 people and complete the chart below. 12

fraction	percent	number of people (based on 6000 people)	equivalent fraction (use 6000 as the denominator)

|1/2|
|1/4|
|3/4|
|1/5|

1. complete the statistics with actual numbers. 7

a) the entire community, or ____ % of the people, could be personally affected by covid - 19 (meaning they or a family member has been infected).
b) twenty - three percent, or a little under ____ (fraction) of children under 15, are asymptomatic carriers.
unit 2 - proportional reasoning
mat21

Explanation:

Step1: Convert fraction to percent for $\frac{1}{2}$

To convert a fraction to a percent, multiply by 100. So, $\frac{1}{2}\times100 = 50\%$. To find the number of people, multiply the fraction by 6000: $\frac{1}{2}\times6000=3000$. The equivalent fraction with denominator 6000 is $\frac{3000}{6000}$.

Step2: Convert fraction to percent for $\frac{1}{4}$

Multiply $\frac{1}{4}$ by 100: $\frac{1}{4}\times100 = 25\%$. The number of people is $\frac{1}{4}\times6000 = 1500$. The equivalent fraction is $\frac{1500}{6000}$.

Step3: Convert fraction to percent for $\frac{3}{4}$

Multiply $\frac{3}{4}$ by 100: $\frac{3}{4}\times100=75\%$. The number of people is $\frac{3}{4}\times6000 = 4500$. The equivalent fraction is $\frac{4500}{6000}$.

Step4: Convert fraction to percent for $\frac{1}{3}$

Multiply $\frac{1}{3}$ by 100: $\frac{1}{3}\times100\approx33.33\%$. The number of people is $\frac{1}{3}\times6000 = 2000$. The equivalent fraction is $\frac{2000}{6000}$.

Step5: Answer for 2a

The entire community is 100% of the people.

Step6: Answer for 2b

To convert 23% to a fraction, $23\%=\frac{23}{100}$.

Answer:

Fraction	Percent	Number of People (based on 6000 people)	Equivalent Fraction (use 6000 as the denominator)
$\frac{1}{4}$	25%	1500	$\frac{1500}{6000}$
$\frac{3}{4}$	75%	4500	$\frac{4500}{6000}$
$\frac{1}{3}$	33.33%	2000	$\frac{2000}{6000}$

2a. 100
2b. $\frac{23}{100}$