As a town gets smaller, the population of its high school decreases by 6% each year, the senior class has 160 students now. in how many years will it have about 100 students. write an equation. then solve the equation without graphing
For this case we have an equation of the form: y = A * (b) ^ t Where, A: initial amount b: decrease rate t: time in years Substituting values we have: y = 160 * (0.94) ^ t For 100 students we have: 160 * (0.94) ^ t = 100 Clearing t we have: (0.94) ^ t = 100/160 log0.94 ((0.94) ^ t) = log0.94 (100/160) t = log0.94 (100/160) t = 7.6 years Answer: it will have about 100 students in: t = 7.6 years
