The graph below shows the growth of a population of yeast cells in a liquid culture over 14 hours.
To compare the rates of yeast reproduction at different times during this growth cycle:
a.[2]
Estimate the rate of yeast reproduction at t=4t = 4t=4 hours by finding the gradient of the tangent line at t=4t = 4t=4, which passes through the grid points (1,10)(1, 10)(1,10) and (6,90)(6, 90)(6,90).
b.[2]
Estimate the rate of yeast reproduction at t=8t = 8t=8 hours by finding the gradient of the tangent line at t=8t = 8t=8, which passes through the grid points (3,100)(3, 100)(3,100) and (13,140)(13, 140)(13,140).
c.[2]
Calculate how many times faster the rate of yeast reproduction is at t=4t = 4t=4 hours than at t=8t = 8t=8 hours.