Give the mathematical answer for each question

2. Using the table of values below, determine x -1 0 256 4 64 2 3 16 4 1 0.25 (A) The equation of the exponential function that represents the data (B) Use your equation from (A) to predict what the value of y when x = 6. 3. The population of a town can be modelled by the exponential equation y = 5860 (1.018) where y represents the number of people and x represents the time, in years, after 2010. (A) Is the population of the town increasing or decreasing? Explain how you know. (B) What does the constant term represent? (C) Estimate the population of the town in 2015. Show your work. 4. Thorium-227 has a half-life of 18.4 days. The remaining amount of a 50-mg sample of thorium-227 can be modelled by the equation; A (1 ) = 50 1 18 4 2 Where A(t) is the amount of thorium-227 remaining, in milligrams, and t is the time in days. (A) Determine the amount of thorium-227 remaining after 10 days, to the nearest milligram. Show your work . (8) Determine how long it will take to decay to 6.25 mg