Mathematics

Problem

A graph plots mass

M

(in grams) of a bacterial culture on the vertical axis versus

\log_{10}(t)

, where

t

is time in days, on the horizontal axis. At the point where

\log_{10}(t)=1.0

, the slope of the graph is

2.5

grams per horizontal-unit. What is the best estimate of

\dfrac{dM}{dt}

t=10

days? a)

2.5\,\text{g/day}

0.25\,\text{g/day}

0.11\,\text{g/day}

0.043\,\text{g/day}