Question

(I WILL GIVE YOU BRAINLIEST AND ANSWER ALL YOU CAN IDC) a market researcher tracks the number of people who visits a company's web site each month. the tables shows the data from the last five months of the year.
month web site visitors (thousands)

8 5.74

9 12.00

10 25.07

11 52.40

12 109.42



Part A: which type of function (linear or exponential) best models this situation. EXPLAIN


Part B: describes the approximate monthly growth demonstrated in the table USING WORDS.


Part C: assuming that the growth rate was the same for the entire year, give me an estimate of the number of visitors to the website for month 7. SHOW WORK OR EXPLAIN

Answer 1

Part A: The exponential function is the best model for the given data. The data shows that every month the number of visitor approximately doubles from previous month. In other words the number is some base value (2, in this case) with the number of month (t) being in the exponent. This the a key characteristic of an exponential growth.  

Part B: (also explained above). Every month the number of visitors approximately doubles. Starting with 5.74 at month 8, the numbers goes up by about the same amount to 12.0 at month 9. At month 10, a similar increase occurs (doubling would be 24, and the data shows 25, so this is all "aproximate"). This trend continues throughout the table.

Part C:

Month 7 will be estimated as half of month 8 (going backward):

Month 7: 5.74/2=2.87

Estimate for month 7 = 2.87 thousand visitors.