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QUESTION IMAGE

construct a scatterplot showing the time from the initial observation v…

Question

construct a scatterplot showing the time from the initial observation versus the corresponding number of people who had watched the video. (select update graph to see your response plotted on the screen. select the submit button to grade your response.)
what type of function should be used to model the number of people who had watched the video?
quadratic
exponential
linear

Explanation:

Step1: Analyze data - growth rate

As time ($x$) increases from 1 to 10 to 20 to 30, the number of viewers ($y$) changes from 195 to 462 to 1110. The growth is not constant (ruling out linear), and the increase is not following a quadratic - like pattern (no $x^{2}$ - like behavior). The growth rate seems to be increasing exponentially as the difference in the number of viewers between time - intervals is getting larger in a non - linear, accelerating way.

Answer:

exponential