Explanation
Correct answer: C.
Choice C is correct. It's given that on April , there were views of the advertisement. It's also given that every days after April , the number of views of the advertisement had increased by of the number of views days earlier. This situation can be represented by an exponential function of the form , where is the number of views on April and every days after April , the number of views had increased by of the number of views days earlier. It follows that , , and . Substituting for , for , and for in the equation yields , or .
Desmos solution:
Note: A 70% increase makes each 2-day factor 1+0.70=1.7, so the exponent is x/2.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This function gives the predicted number of views for an advertisement for which every days, the number of views was , rather than increased by , of the number of views days earlier.
Choice B
Choice B is incorrect. This function gives the predicted number of views for an advertisement for which every days, the number of views was of the number of views days earlier, rather than an advertisement for which every days, the number of views had increased by of the number of views days earlier.
Choice D
Choice D is incorrect. This function gives the predicted number of views for an advertisement for which every days, rather than every days, the number of views had increased by of the number of views days earlier, rather than days earlier.