Question

(c) What is the height intercept?(d) Assuming Laura started with an empty pool at time = 0 hours, you would expect the height intercept to be zero. Unfortunately due to error in measurements theintercept was not zero. Use the 5% Rule to calculate the height intercept error. What is the the height intercept error?(e) What would you expect the height of the water to be after 14 hours?

Answer 1

b) slope:

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ m=\frac{140-60}{1.5-0.7}=\frac{80}{0.8}=10 \end{gathered}$

c) Using the slope (m) and a ordered pair (x,y) (time, height) find the height intercept (b) as follow:

$\begin{gathered} y=mx+b \\ \\ (0.7,60) \\ m=85.5 \\ \\ 60=85.5(0.7)+b \\ 60=59.85+b \\ 60-59.85=b \\ \\ b=0.15 \end{gathered}$

Then, the height intercept is 0.15cm

d) Calculate the eror using the next formula: