Question

watch the video and then solve the problem given below. click here to watch the video. people who are severely obese (bmi ≥ 40) are at the most risk for serious health problems, which are the most expensive to treat. the percent of people in a country who are severely obese from 2000 and projected to 2030 are shown. complete parts a - b below. year 2000 2010 2015 2020 2025 2030 % severely obese 2.4 4.6 6.7 7.5 9.3 11.1 a. find the linear function that models severe obesity, with x representing the number of years after 2000 and y representing the percent of severely obese in the country. (use integers or decimals for any numbers in the equation. round to three decimal places as needed.)

Explanation:

Step1: Recall the linear - function form

The linear - function form is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. When $x = 0$ (corresponding to the year 2000), $y=2.4$. So, $b = 2.4$.

Step2: Calculate the slope $m$

The slope $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points, say $(x_1,y_1)=(0,2.4)$ (year 2000) and $(x_2,y_2)=(10,4.6)$ (year 2010). Then $m=\frac{4.6 - 2.4}{10-0}=\frac{2.2}{10}=0.220$.

Answer:

$y = 0.220x+2.4$