Exponential Growth and Decay Models Worksheet with Answer Key

What's on the worksheet

1. Each quantity satisfies the differential equation and the condition given.
   \dfrac{dy}{dt} = 0.4y, y(0) = 15; reaches 45\dfrac{dy}{dt} = -\dfrac{1}{6}y, y(0) = 90; reaches 10\dfrac{dy}{dt} = 3y, y(1) = 2; reaches 50\dfrac{dy}{dt} = -0.05y, y(0) = -40; reaches −10
2. In a made-up model, the number of lionfish on a reef grows at a rate proportional to its size.
3. Lily unplugs her soldering iron when its tip is at 350 degrees Celsius.
5. A lab records two positive quantities A and B every 2 hours.
6. In a made-up model, after Diego switches on the range hood in his kitchen, the concentration C of smoke particles, in thousands of particles per…
7. In a made-up model of a block of tinted acrylic, the light still traveling at depth x millimeters, $I