Answer to Question #159133 in Algebra for Jan

Question

The size of a yeast culture is measured each hour, and the results are displayed on the graph shown.

a) From the graph, estimate the initial number of yeast cells.

b) Estimate the number of cells after 30 h.

c) Use the initial amount to estimate the length of time required for the number of cells to double.

d) Use an amount (other than the initial amount) to determine the length of time required for the number of cells present at that time to double.

e) Describe what you noticed about the two doubling times. Check what you found with a different amount from the graph.

Answer 1

From the graph, the number of cells on y- axis and number of hours on x- axis.

1. The initial number of yeast cells are 20 at time zero hour.

2. The number of cells after 30 hours are 80.

3. Using the initial amount at time zero hour number of cells are 20 and it doubles to as 40 at time

15 hours as graph intersecting at coordinates(15,40).

4. Using an amount another than initial amount to get cells double is ----

let initial amount is 50 cells that is at 20 hours and double the amount of cells is 100 which is

at 35 hours as the graph intersect at coordinates (35,100). The length of time taken to double

the cells amount is : final time - initial time = 35 - 20 = 15 hours.

5. From the above two questions we see that the doubling time of two different initial amount is

same as 15 hours each taken to doubles the amount of cells. That means that every amount

of cells is get doubles in a fix period of time that is 15 hours.