2 Power growth can be modeled by the equation _______, where a and b are constants. (Notice that in exponential growth, x is the _________, while in power growth, x is the _____.)exponentbase
3 We can model power growth using a LSL as follows: Take the ln of both sides. The ln of a product equals the sum of the ln’s. The ln of a power equals the power times the ln.
4 Notice that there is a linear relationship between ln y and ln x and that b is the slope of the straight line that links ln y to ln x.
5 On July 31, 2005, a team of astronomers announced they had discovered what seemed to be a new planet in our solar system. Xena, the potential planet, is bigger than Pluto and has an average distance from the sun of 9.5 billion miles ( astronomical units). Could Xena be a new planet?
6 Graph the scatterplot of the planetary data. Describe it. PositiveCurvedStrong
7 Graph distance vs. ln (period). Describe it. PositiveCurvedStrong
8 Graph ln (distance) vs. ln (period). Describe it. PositiveLinearStrong