B. 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)^4 m=400(-71)^1 m=400(1.29)^h E m=400(71)^n Clear All

## Step 1<br />The problem involves an adult taking 400 mg of ibuprofen, and each hour, the amount of ibuprofen in the person's system decreases by about 29%. This means that each hour, the person retains 71% of the previous hour's amount of ibuprofen (since 100% - 29% = 71%).<br /><br />## Step 2<br />We need to find an equation that represents this situation. The variable \(m\) represents the amount of ibuprofen in the system, and \(h\) represents the number of hours.<br /><br />## Step 3<br />The equation that correctly represents this situation is \(m = 400(0.71)^h\). This equation means that the amount of ibuprofen in the system is equal to 400 mg times 0.71 (or 71%) raised to the power of the number of hours.<br /><br />## Step 4<br />The other equations do not correctly represent the situation. For example, \(m = 400(-29)^4\) and \(m = 400(-71)^1\) involve negative values, which do not make sense in this context. \(m = 400(1.29)^h\) represents an increase, not a decrease, and \(m = 400(71)^n\) does not correctly represent the percentage decrease.