1.1 Cell structure

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Question 30
Medium

The graph below shows the growth of a population of GM bacteria in a liquid culture over 15 hours.

A graph showing the growth of a bacterial population over 15 hours. The vertical y-axis is labeled 'Number of bacterial cells in millions per cm^3' with increments from 0 to 120. The horizontal x-axis is labeled 'Time in hours' with increments from 0 to 15. A S-shaped growth curve starts at (0, 5), goes up rapidly through (5, 40), and then levels off towards 100. Two straight dashed lines representing tangents are drawn: one tangent at t = 5 hours passing through the grid points (2, 10) and (8, 70), and another tangent at t = 10 hours passing through the grid points (6, 92) and (14, 108).

To compare the rates of reproduction at different times during this growth cycle:

a.

Estimate the rate of reproduction at t=5t = 5t=5 hours by finding the gradient of the tangent line at t=5t = 5t=5.

[2]
b.

Estimate the rate of reproduction at t=10t = 10t=10 hours by finding the gradient of the tangent line at t=10t = 10t=10.

[2]
c.

Calculate how many times faster the rate of reproduction is at t=5t = 5t=5 hours than at t=10t = 10t=10 hours.

[2]

1.1 Cell structure Questions

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