The bacteria has an initial population of 2000 cells and increases at a rate of 40% per hour. use the exponential function to model the growth/decay of bacteria.

Here given, initial population of bacteria = 2000 cells

Also given, the population increases at a rate of 40% per hour.

As the population is increasing so we will use the formula for exponential growth. The formula is

Where, P = initial amount, r = growth rate, t = time, A = final amount.

So here, P = 2000, r = 40% = , t = time in hours

We will plug in the values in the formula. we will get,

We have got the required function to model the growth of the bacteria.

The required function is

Solution :-

Given that cost of each sandwich is AED 22 .50 .Also there is a delivery charge of AED 10 .

Also , it is given that total cost should be represented by t and sandwiches by s .

So , if one sandwich costs AED 22.50 .

Then , s sandwich will cost 22.50 × s = AED 22.50s.

Now , there is a delivery charge of AED 10 .

So , the total cost will be AED ( 22.50s + 10 ) .

And as per Question , it equals to t .

Hence the required equⁿ will be ,

2) If one sandwich costs AED 22.50 then 10 will cost 22.50 × 10 = AED225