Question: A science communicator designs an exhibit where visitors generate a power-up score $ s $ based on time spent, modeled by $ s = 2t + 1 $. If another challenge grants a bonus score $ b = t^2 - 3t + 5 $, what is $ b(s(4)) $?

["How Science and Math Meet: Calculating Power-Up Scores in Interactive Exhibits", "In modern science communication, interactive exhibits blend education and fun by turning abstract concepts into tangible experiences. One popular exhibit designs challenges visitors to spend time engaging with a display—each minute spent generates a personalized power-up score—and rewards persistence with bonus points. A real-world example involves two key metrics: a time-based score $ s $ and a bonus score $ b $, computed using elegant mathematical formulas. Understanding how these scores relate enhances both visitor engagement and learning outcomes.", "### The Power-Up Score Function", "In this exhibit model, the power-up score $ s $ depends linearly on time $ t $ spent interacting:\n$$\ns = 2t + 1\n$$\nThis simple linear relationship reflects how rapid interaction translates into immediate impact on a visitor’s score. At 4 minutes, the score becomes:\n$$\ns(4) = 2(4) + 1 = 9\n$$\nThis value fuels the next stage of the exhibit’s reward system.", "### The Bonus Score Function", "The bonus score $ b $, awarded after completing additional challenges, follows a quadratic model:\n$$\nb = t^2 - 3t + 5\n$$\nUnlike the linear $ s(t) $, this quadratic expression emphasizes the cumulative benefit of time investment—inviting visitors to approach challenges with sustained curiosity.", "### Finding $ b(s(4)) $", "To compute $ b(s(4)) $, we substitute $ s(4) = 9 $ into the bonus function:\n$$\nb(s(4)) = b(9) = 9^2 - 3(9) + 5\n$$\nCalculating step-by-step:\n$$\n9^2 = 81, \quad 3(9) = 27\n$$\n$$\nb(9) = 81 - 27 + 5 = 59\n$$", "### Conclusion", "Thus, a visitor who engages for 4 minutes earns a base score of 9, which then unlocks a bonus reward of 59 points. This elegant combination of linear and quadratic functions demonstrates how science communicators use math to measure engagement and amplify motivation. By carefully modeling visitor interaction, exhibits transform time into meaningful, rewarding experiences—proving that even abstract equations can power fun, memorable science.", "Keywords: science exhibit, power-up score, bonus score calculation, time-based score model, quadratic function, interactive learning, math in museums."]