Thread: How I can solve this question

Hiu

How I can solve this question

Originally Posted by r-soy

Hiu

How I can solve this question

To graph the equation between 0 and 5 start with the ordered point (0,100)

You know that in 1 hour the amount will be times the amount at 0 so you get the second ordered pair of (1,400)

Plot the others similarly and draw the graph

Spoiler:

Use the exponential growth equation

We know that and that in the number doubles -

Use this relationship to find the growth constant

Spoiler:

As the graph is exponential growth I suggest using a log scale on the y axis

which gives a straight line in the form


Edit: Plot against to get the straight line, with gradient and y intercept

thanks e^(i*pi)

There is no reason to use "e" or logarithms.

There are 2N half hour periods in t hours so the population will have doubled 2t times: