Question

write an equation that approximates your data set. an explanation of how you determined the equation.

Answer 1

Answer: The plot of the minutes after the first height is as follows:

Assuming we could plot the data using a linear equation, then we could have the following:

`\begin{gathered} y(x)=mx+b\rightarrow(1) \\ \\ m=(\Delta y)/(\Delta x) \end{gathered}`

The attempt at mapping data to the equation (1) , leads to the following:

`\begin{gathered} m=(\Delta y)/(\Delta x)=(1.1-0.4)/(347-85)=(0.7)/(262)=0.003 \\ \\ m=0.003 \\ \\ b=0.2 \\ \\ \therefore\rightarrow \\ \\ y(x)=(0.003)x+0.2\rightarrow(2) \end{gathered}`