Question

1. Use the Distance Modulus Formula, M=5 log r − 5 (where M is the distance modulus and r is the distance from Earth to a star in parsecs), and the fact that 1parsec is approximately 3.3light years, to find the distance in light years from Earth to a star with distance modulus 0.79.

____ light years (If the answer is not an integer, enter it as a decimal rounded to the nearest hundredth, if needed.)

5. The population of a city after t years is given by P(t)= 30,915e^0.041t, where t = 0 corresponds to the current year.
How many years from the current year will it take for the population of the city to reach 90,000?
Round to the nearest hundredth of a year.

In approximately _____ years the population of the city will reach 90,000.

Answer 1