In the video we just saw, we performed logarithmic regression for the height of a tree in feet over time and found our model equation to be y=2.062+7.695lnx where x is time in years. According to this model, how many years will it take for the tree to grow to 30 feet tall? Round your answer to the nearest tenth of a year and do not include units.

Explain why the values of an increasing exponentialfunction will eventually overtake the valuesof anincreasing linear function.

What is the y -intercept on the graph of the logistic model given in the previous exercise?

Find an exponential equation that passes throughthe points (0,4) and (2,9).

Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?

In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In 2014, Los Angeles also experienced an earthquake which measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes.

Determine whether Table 1 could represent a function that is linear, exponential, or neither. If it appears to beexponential find a function that passes through the points.

What is the y -intercept of the logistic growth model y=c1+aerx ? Show the steps for calculation. What does this point tell us about the population?

Convert the equation from exponential to logarithmic form: 102=1100.