The estimated amount of increase of data traffic, in terabytes, each year
The estimated percent increase in the data traffic, in terabytes, each year
The estimated data traffic, in terabytes, for the year that is years after
The estimated data traffic, in terabytes, in
Explanation
Correct answer: D.
Choice D is correct. Since represents the number of years after , the estimated data traffic, in terabytes, in can be calculated using the given equation when . Substituting for in the given equation yields , or . Thus, represents the estimated data traffic, in terabytes, in .
Desmos solution:
Note: evaluating D(0) shows that 5,640 is the data traffic in 2010.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. Since the equation is exponential, the amount of increase of data traffic each year isn't constant.
Choice B
Choice B is incorrect. According to the equation, the percent increase in data traffic each year is .
Choice C
Choice C is incorrect. The estimated data traffic, in terabytes, for the year that is years after is represented by , not the number .