The table below shows the number of new shoe stores that opened between 1990 and 1996. Year Number of Shoe Stores 1990 14 1991 1992 1993 27 48 80 110 1994 1995 1996 153 261 Using x= detemine the equation for the curve of best fit that most closely models the data. Round all values to the nearest hundredths. 1 to represent the year 1990. and y to represent the number of new shoe stores, a. y 71.58x-160.47 b. y= 10.60(1.59y* c. y 14.98x - 78.17x+114.07 d. y=-128.40+(229.08)lnx

Find the mean hourly cost when the cell phone described above is used for 240 minutes.

Planetary Velocity The following table gives the mean velocity of planets in their orbits versus their mean distance from the sun. Note that 1AU astronomical unit is the mean distance from Earth to the sun, abut 93 million miles. Planet d=distance AU v=velocity km/sec Mercury 0.39 47.4 Venus 0.72 35.0 Earth 1.00 29.8 Mars 1.52 24.1 Jupiter 5.20 13.1 Saturn 9.58 9.7 Uranus 19.20 6.8 Neptune 30.05 5.4 Astronomers tell us that it is reasonable to model these data with a power function. a Use power regression to express velocity as a power function of distance from the sun. b Plot the data along with the regression equation. c An asteroid orbits at a mean distance of 3AU from the sun. According to the power model you found in part a, what is the mean orbital velocity of the asteroid?