a line of best fit was drawn to the plotted points in a data set below. based on the line of best fit, for…

Explanation:

Step1: Find the slope of the line

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using the points $(0,2)$ and $(12,11)$, we have $m=\frac{11 - 2}{12-0}=\frac{9}{12}=\frac{3}{4}$.

Step2: Find the y - intercept

The y - intercept $b$ is the y - value when $x = 0$. From the point $(0,2)$, we know $b = 2$.

Step3: Write the equation of the line

The equation of a line in slope - intercept form is $y=mx + b$. Substituting $m=\frac{3}{4}$ and $b = 2$, we get $y=\frac{3}{4}x+2$.

Step4: Find the y - value when $x = 24$

Substitute $x = 24$ into the equation $y=\frac{3}{4}x+2$. Then $y=\frac{3}{4}\times24 + 2=18 + 2=20$.

Answer:

20