Suppose you are a scientist who wants to grow cells. Sample 1 is a cell that divides every twenty minutes. Sample 2 is a cell that divides every thirty minutes. Will there be more cells of Sample 1 or 2 after three hours? How many more?

a. Assuming we are starting out with the same mass or number of both cells, definitely there would be more cells of sample 2 after three hours

b. If there are equal number of both cells initially, there would be 8 times more of cell 2 than cell 1

Step-by-step explanation:

a.The first part of the question asks if there would be more cells of sample 1 or 2 after three hours.

Now, the first assumption we shall be making is that we have equal numbers or let’s say mass of both cells initially.

Okay, let’s say we have x g of both cells initially.

Now sample 1 cell divides every 20 minutes.

How many times will have divided in 3 hours? The correct way to tackle this is by knowing the number of two minutes in 3 hours.

In an hour, we have 3 20 minutes. So in 3 hours, we will have 9 20 minutes

Let’s take a look at the sample 2 cell.

it divides every 30 minutes.

Now, in an hour, we have 2 30 minutes. In 3 hours, we will be having 6 30 minutes

Since cell 2 underwent 6 divisions while cell 1 underwent 9 divisions within the same 3 hours and they both have the same mass initially, then we will have more of cell 2 after three hours.

b. We want to know by how many more.

Now, for cell 1 since the division is 9 times, and it is definitely an exponential division, the mass or amount of the original left after 9 half divisions would be;

(1/2)^9 = 1/512

So 1/512 of x would be left and that would be x/512 left

For cell 2, we have the same approach. There are six divisions.

The amount left after the 6th division would be;

(1/2)^6 = 1/64

So the amount left after the sixth division would be x * 1/64 = x/64

Now, we want to know by which amount is the division of cell 2 greater.

That would be x/64 divided by x/512 = x/64 * 512/x = 8

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00

47 - 90 = 43

43 - 180 = x

x = 137