1. An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person's system decreases by about 29% Which is equation is representing this problem? m=400(-.29)^h m=400(.71)^h m=400(-.71)^h m=400(1.29)^h

The problem describes a situation where the amount of ibuprofen in a person's system decreases by 29% each hour. This is an example of exponential decay, where the amount of ibuprofen decreases by a certain percentage each hour. The general form of an exponential decay equation is \(m = a(1 - r)^h\), where \(m\) is the final amount, \(a\) is the initial amount, \(r\) is the rate of decrease, and \(h\) is the number of hours. In this case, the initial amount \(a\) is 400 mg, the rate of decrease \(r\) is 29% or 0.29, and \(h\) is the number of hours. Plugging these values into the equation gives \(m = 400(1 - 0.29)^h\) or \(m = 400(0.71)^h\). Therefore, the correct equation representing this problem is \(m = 400(0.71)^h\).