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(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?

(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. Unfortunatel class=

Answer :

b) slope:

[tex]\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}[/tex]

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

[tex]\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}[/tex]

Then, the height intercept is 0.15cm

d) Calculate the eror using the next formula:

[tex][/tex]

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