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

Step-by-step 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}}=(90-120)/(10-6)=(-30)/(4)=\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=-(15)/(2)x+165`

Therefore, the answer is