algebra II “the population of a local city is modeled by the equation C=698(.75)^y, where C is the population, in thousands, y decades after?

2013. which equation models the population after y years?
a. C=698(0.6500)^y
b. C=698(0.8500)^y
c. C=698(0.9716)^y
d. C=698(0.9750)^y

explanation appreciated!!

Jeff Aaron2020-11-13T05:54:54Z

C = 698 * 0.75^(0.1y)
C = 698 * (0.75^0.1)^y
C =~ 698 * 0.97164165786307350057304556124869^y
answer (c) is close, but not exact.