+33 Salt water is flowing into a large tank that contains pure water. The concentration of salt, c, in the tank at t minutes is given by the function c(t)=10t/(25+t), where c is measured in grams per liter.
a) what is the initial concentration of salt?
b) what happens to the concentration of salt over time?
c) When does the salt concentration reach 3.75g/L?
+128599 a) at t = 0.....the initial concentration is 0 → (10)( 0) / ( 25 + 0) = 0 / 25 = 0
b) as t increases.......so does the salt concentration
c)
10t / ( 25 + t) = 3.75
10t = 3.75 (25 + t)
10t = 93.75 + 3.75 t
10t - 3.75 t = 93.75
6.25 t = 93.75
t = 93.75 / 6.25 = 15 minutes
