Question

Mrs. Alexander had her chemistry classes analyze the amount of time it takes for water to evaporate out of different-sized containers. The graph below shows a line of best fit for the data collected by all of her students.Which of the following is the equation of the line of best fit?

Answer 1

Explanation

We are asked to determine the equation of the line of best fit

We will have to get the slope and intercept of the line

The y-intercept from the graph is 165

So to get the slope

we will use the relationship:

$slope=\frac{change\text{ in y}}{change\text{ in x}}=\frac{90-120}{10-6}=\frac{-30}{4}=\frac{}{}-\frac{15}{2}$

So If we use the equation:

$\begin{gathered} y=mx+c \\ where \\ m\text{ is the slope} \\ c=intercept \end{gathered}$

So, we will have

$y=-\frac{15}{2}x+165$

Therefore, the answer is