Ascientist is studying the growth of a particular species of plant. he writes the following equation to show the height of the plant f(n), in cm, after n days: f(n) = 10(1.02)n1. starting from 0 days, plug x-values into our function to find out how many days it takes for the plant to grow to 11.04 cm2. write a compound inequality to show the reasonable domain of the plant growth: 3. what is the y-intercept of our function? 4. what does the y-intercept of the graph of the function f(n) represent? 5. what is the average rate of change formula for exponential growth functions? 6. plug and chug n= 1 to n = 5 into your formula above. show all work! 7. what does the average rate of change answer represent?

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?