Question

scientists estimated the size of a frog population at a large pond by using artificial intelligence to analyze the frogs croaking sounds. they collected data from march through august of one year and made a scatter plot of the data. the frog population initially grew very quickly, but growth slowed significantly during the summer months of june, july, and august. which pair of words best describes the relationship between time and the frog population? negative nonlinear negative linear positive linear positive nonlinear

Explanation:

Step1: Analyze the trend direction

The frog population "initially grew very quickly, but growth slowed significantly" over time (from March - June - July - August). Since the population is increasing with time (earlier months to later months), the relationship is positive (not negative, so eliminate "negative nonlinear" and "negative linear").

Step2: Analyze the trend type (linear vs nonlinear)

A linear relationship would have a constant rate of growth (straight - line trend). But here, growth starts fast and then slows, which means the rate of change (slope) is not constant. So the relationship is nonlinear (not positive linear). Thus, the relationship is positive nonlinear.

Answer:

positive nonlinear