rickportega

Yes, I think I am supposed to elliminate k (and once I integrate, elliminate C) using the conditions at t=0, R=0, and at t=7, R=600. If I posted this in the wrong forum, I apologize. As you probably have noticed, Im new to the forum. Thanks again for all the help you can provide

I have a tough problem for my calculus class I was hoping to get help for: A person meets new people at a rate of about 100 every day. After 7 days, he remembers the names of 600 of the 700 people he met. The rate of change of the # of names he remembers (dR/dt) equals 100 minus an amount that is directly proportional to R. a) write an equation expressing the assumptions above assuming at t=0 he knew no names. _________________________________________________________________________________ What I've come up with so far is dR/dt=100-kR, where k is the constant of proportionality. I'm not sure where to go from here...I think the next step would be to get the dR and the R isolated on one side of the equation, but I can't get this (seems like simple algrebra, but its tough haha). Any help would be greatly appreciated.