Age, x(year) Amount of sleep required, y(hours) 12 2 6 12 13 11 10 16 133 9 8 50 25 50 6 a. State the logarithmic regression equation. b. Using the above equation, find the number of hours of sleep required by a 35 year old.

Does a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.

The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.

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?