can you help please ??

Question

Data for coronavirus infections for Spain is shown below.

Number of days since first infection reported	Total number of infections
0	1
10	2
20	2
30	83
40	2140
45	9191
47	13,716

 

1. Which type of model fits this data best?

2. Enter the function that models the data. 

3. If this rate continues how many total infections should there be by day 75? 

4. After how many days would there be 20,000,000 infections

Answer 1

Using the exponential regression calculator, here are the results:

R-coefficient is 0.958103444, which means the data fits the exponential model quite well

The function is approximately

y = f(x) = 0.221626774 * 1.248892133^x