Explain the process 1

Explain the process

1. The function f(x)=875·0.97^x denotes the amount of daily bus passengers on a certain route, x years after 2015.

Define the function f(x) in nspire and use this to answer the following:

a) Calculate f(10) and explain what this number tells us about the size of bus passengers.

b) When will the number of passengers fall below 500?

c) What do the numbers 875 and 0.97 tell us about the development in passenger numbers?

d) Calculate the halving constant T1/2 and explain what it tells about the development in the number of bus passengers.

2. 

The annual revenue from gambling in Denmark for the period 2000-2004 can be roughly described as by the model

y = 2.5x + 10.5

where y is the turnover, measured in billions of DKK, and x is the number of years after 2000.

a) How much does the turnover increase per year according to the model?

b) What does the number 10.5 tell us about the turnover at stake?

3. Run exponential regression on the data set below.

Write the formula for the exponential function , which best describes the data.

Enter the constants in the formula with at least two decimal places. Remember the decimal point.

F(x)= ?

4. Perform power regression on the data set below.

Write the formula for the power function that best describes the data.

Enter the constants in the formula with at least two decimal places. Remember the decimal point.

F(x) = ?