A graph plots mass (in grams) of a bacterial culture on the vertical axis versus

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

A graph plots mass MM (in grams) of a bacterial culture on the vertical axis versus log⁡10(t)\log_{10}(t), where tt is time in days, on the horizontal axis. At the point where log⁡10(t)=1.0\log_{10}(t)=1.0, the slope of the graph is 2.52.5 grams per horizontal-unit. What is the best estimate of dMdt\dfrac{dM}{dt} at t=10t=10 days? (a) 2.5 g/day2.5\,\text{g/day} (b) 0.25 g/day0.25\,\text{g/day} (c) 0.11 g/day0.11\,\text{g/day} (d) 0.043 g/day0.043\,\text{g/day}

Related theory

Browse the problem library