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Nonlinear functions SAT question
Math · Advanced Math · Medium · Answer it here, explanation included.
The equation above estimates the global data traffic D, in terabytes, for the year that is t years after 2010. What is the best interpretation of the number 5,640 in this context?
ExplanationShow
Choice D is correct. Since t represents the number of years after 2010, the estimated data traffic, in terabytes, in 2010 can be calculated using the given equation when 
. Substituting 0 for t in the given equation yields 
, or 
. Thus, 5,640 represents the estimated data traffic, in terabytes, in 2010.
Choice A is incorrect. Since the equation is exponential, the amount of increase of data traffic each year isn’t constant. Choice B is incorrect. According to the equation, the percent increase in data traffic each year is 90%. Choice C is incorrect. The estimated data traffic, in terabytes, for the year that is t years after 2010 is represented by D, not the number 5,640.
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