Question

based on a study in 2001, there were 3.6 million people living with hiv in south and southeast asia and 1.1 million in north america. by 2009, those numbers had grown to 4.1 million and 1.6 million. find the amount of increase in number of people living with hiv and the percent increase for each region. what can you conclude? part: 0 / 3 part 1 of 3 the amount of increase in number of people living with hiv in south and southeast asia was . the percent increase was %. (round to two decimal places, if necessary.)

Explanation:

Step1: Calculate amount of increase for South - Southeast Asia

Subtract the initial number from the final number. Let the initial number of people with HIV in South and Southeast Asia in 2001 be $a = 3.6$ million and the final number in 2009 be $b = 4.1$ million. The amount of increase $\Delta x=b - a$.
$\Delta x=4.1−3.6 = 0.5$ million

Step2: Calculate percent increase for South - Southeast Asia

The formula for percent increase is $\text{Percent Increase}=\frac{\text{Amount of Increase}}{\text{Original Amount}}\times100\%$. Here, the original amount is $3.6$ million and the amount of increase is $0.5$ million.
$\text{Percent Increase}=\frac{0.5}{3.6}\times 100\%=\frac{50}{3.6}\% \approx 13.89\%$

Answer:

The amount of increase in number of people living with HIV in South and Southeast Asia was $0.5$ million.
The percent increase was $13.89\%$.