Question

Help? will give you a medal!

The length of a rectangular picture frame has been found to be an irrational number. Dwayne says that because the length is an irrational number, the perimeter and area would always be irrational. Using complete sentences, critique Dwayne’s statement with examples that demonstrate how he is correct or incorrect.

Answer 1

Dwayne is correct about the perimeter but incorrect about the area.

Let's say the side was of lngth sqrt(2).

The area is sqrt(2) times sqrt(2) = 2 which is a rational number.

The perimeter is 4s or 4 Sqrt(2) which is still irrational.

Answer 2

Thank you SO MUCH!!! can you help me with one more question??

Create an exponential growth function, f(x), to model a population of frogs that is growing every year. Identify the principal amount, the growth rate, and the appropriate domain and range for your function. Explain how these key features would affect the graph of f(x).

Using your function f(x) from question 2. Demonstrate and explain how to find the average rate of change between year 3 and 5, and between year 5 and 7. Explain what the average rate of change represents to the frog population.

Answer 3

Here's a function: y = 200(1.03^4.

200 is the initial number of frogs
1.03 means that the number of frogs is increasing by 3% per year
and the 4 = # of years, 4 years

Therefore y gives you the total number of frogs after 4 years, if you were to start with 200 frogs and they increase by 3% per year.

Answer 4

Thankyou! you have no idea how much i appreciate this! how about the second part?

Answer 5

@Hero can you help with part 2?