Home-LPAD Visions in Educatio. rif inbox (46) - \( \operatorname{sa5449} \) Mathspace HM hotine Home Home - Google Dive Grade 9 Agenda - 20 . An Bookn Sanveer Singh Integrated Math 1 B (IS895) \#90179 | Mastery Assess It-1 Due: Tomorrow Alt changes ave \[ 12000=a\left(\frac{-}{2}\right) \] 7. The amount of a radioactive substance decreases by \( 50 \% \) every 2.5 days. Right now the amount of substance is 600 grams. How many grams of the substance will remain 5 days from now? 96 150 192 48

In 5 days, the number of half-lives completed is 2, since 5 days divided by 2.5 days (the time it takes for the substance to lose half of its mass) equals 2. Starting with 600 grams, after the first half-life, it will be 300 grams, and after the second half-life, it will drop to 150 grams. So the answer is 150 grams remaining after 5 days—this is a classic example of exponential decay! Understanding exponential decay can really help in various real-world scenarios. For instance, this principle is not just confined to chemistry. It applies to things like populations in ecology, the depreciation of assets in finance, or even data on social media platforms that can fade over time. So, grasping these concepts allows us to analyze and predict trends in various fields!