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Advanced Math / Nonlinear functions Difficulty: Medium

The graph models the number of active projects a company was working on $x$ months after the end of November $2012$ , where $0 \leq x \leq 6$ . According to the model, what is the predicted number of active projects the company was working on at the end of November $2012$ ?

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Explanation

Choice B is correct. It's given that the graph models the number of active projects a company was working on $x$ months after the end of November $2012$ . Therefore, the value of $x$ that corresponds to the end of November $2012$ is $0$ . The point at which $x equals 0$ is the y-intercept of the graph. It follows that the y-intercept of the graph shown is the point $left parenthesis 0 comma 5 right parenthesis$ . Therefore, according to the model, the predicted number of active projects the company was working on at the end of November $2012$ is $5$ .

Choice A is incorrect. This is the value of $x$ that corresponds to the end of November $2012$ , not the predicted number of active projects the company was working on at the end of November $2012$ .

Choice C is incorrect. This is the predicted number of active projects the company was working on $2$ months after the end of November $2012$ .

Choice D is incorrect. This is the predicted number of active projects the company was working on $4$ months after the end of November $2012$ .