Part A: Use the properties of exponents to explain why 18 raised to the power of 1 over 5 is called the fifth root of 18.

Part B: The length of a rectangle is 2 units and its width is square root of 2 unit. Is the area of the rectangle rational or irrational? Justify your answer.

Question

Part A: Use the properties of exponents to explain why 18 raised to the power of 1 over 5 is called the fifth root of 18. 

Part B: The length of a rectangle is 2 units and its width is  square root of 2 unit. Is the area of the rectangle rational or irrational? Justify your answer.

anonymous · Answer

I sort of understand the first question so I just need help on the second.

anonymous · Answer

A scientist 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)n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? 

Part B: What does the y-intercept of the graph of the function f(n) represent? 

Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5 and what does it represent?