Science:Math Exam Resources/Courses/MATH102/December 2014/Question A 06/Statement

The figure below shows $\ln(C(t))$ plotted against $t$ as the best-fit line through the data points. Which of the following expressions for $C(t)$ corresponds to that best-fit line?

LogPlot

1. $C(t)={\frac {1}{2}}+{\frac {3}{4}}t$
2. $C(t)={\frac {3}{4}}+{\frac {1}{2}}t$
3. $C(t)={\frac {1}{2}}e^{{\frac {3}{4}}t}$
4. $C(t)=e^{\frac {1}{2}}e^{{\frac {3}{4}}t}$
5. $C(t)=e^{\frac {3}{4}}e^{{\frac {1}{2}}t}$