The population of a certain state from 2000 to 2010 was recorded. During that decade, the state grew from 20.6 million in 2000 to 25.9 million in 2010. Use an exponential growth model to predict the population of the state in 2025. Let y(1) be the population of the state, in millions, t years after the year 2000. Give the exponential growth function for this state's population. y(!) =_ (Type an expression. Round coefficients to three decimal places as needed.) The estimated population in 2025 is | million. (Round the final answer to one decimal place as needed. Round all intermediate values to three decimal places as needed.)Devise an exponential decay function that fits the given data, then answer the accompanying questions. Be sure to identify the reference point (t = 0) and units of t. The pressure of a certain planet's atmosphere at sea level is approximately 800 millibars and decreases exponentially with elevation. At an elevation of 35,000 ft, the pressure is one-third of the sea-level pressure. At what elevation is the pressure half of the sea-level pressure? At what elevation is it 1% of the sea-level pressure? What is the reference point (t = 0)? O A. 1% of the sea-level pressure O B. the elevation at sea level, 0 ft O C. the elevation, 35,000 ft O D. the pressure at sea level, 800 millibars What are the units of t? O A. pressure levels O B. millibars O C. feet At what elevation is the pressure half of the sea-level pressure? feet (Do not round until the final answer. Then round to the nearest whole number as needed.) At what elevation is the pressure 1% of the sea-level pressure? feet (Do not round until the final answer. Then round to the nearest whole number as needed.)Devise the exponential growth function that fits the given data, then answer the accompanying question. Be sure to identify the reference point (t = 0) and units of time. Uranium-238 (U-238) has a half-life of 4.5 billion years. Geologists find a rock containing a mixture of U-238 and lead, and determine that 78% of the original U-238 remains; the other 22% has decayed into lead. How old is the rock? What is the reference point (t = 0)? O A. The current state of the rock with 78% of the original amount of U-238. O B. When the rock does not contain any more of the original amount of U-238. O C. When the rock contained 100% of the original amount of U-238. O D. The state of the rock 4.5 billions years ago. What are the units of time? O billions of years O decades O years O months Write the exponential growth function. Use y, the initial value of y. y(1) = (Type an expression. Round coefficients to three decimal places as needed.) How old is the rock? The rock is |billion years old. (Round to three decimal places as needed.)