A study was conducted to analyze the deer population in a particular area. Let \(f\) be an exponential function that gives the population of deer \(t\) years after the study began.

If \(f(t)=a \boldcdot b^t\), and the population is increasing, select all statements that must be true.

The function, \(f\), gives the number of copies a book has sold \(w\) weeks after it was published. The equation \(f(w) = 500 \boldcdot 2^w\) defines this function.

Select all domains for which the average rate of change could be a good measure for the number of books sold.

Technology required. A moth population, \(p\), is modeled by the equation \(p = 500,\!000 \boldcdot \left(\frac{1}{2}\right)^w\), where \(w\) is the number of weeks since the population was first measured.

1. What was the moth population when it was first measured?
2. What was the moth population after 1 week? What about after 1.5 weeks? 
3. Use technology to graph the population and find out when it falls below 10,000. 

Give a value for \(r\) that would indicate that a line of best fit has a positive slope and the variables are strongly correlated.

The size of a district and the number of parks in it have a weak positive relationship.

Explain what it means to have a weak positive relationship in this context.