# Whose Line Graph Is it Anyway?

##### Age 16 to 18 Challenge Level:

Process |
Graph |
Equation |
Explanation |

1 |
6 |
H |
In a food-limited environment bacteria tend to maximum number
after initial exponential growth (following lag phase) |

2 |
5 |
B |
Concentration will exponentially decay as drug is
metabolised |

3 |
9 |
E |
Pendulum will have an sinusodial motion with a decaying
amplitude due to damping from air resistance |

4 |
7 |
I |
Ideal gas equation $pV = nRT$ therefore pressure and volume are
in a reciprocal relationship |

5 |
2 |
A |
Ball is small and heavy, therefore assume air resistance is
negligible at first and so acceleration is constant. $s = ut +
\frac{1}{2}at^2$ therefore for $u=0;\ a=g \Rightarrow
s=\frac{1}{2}gt^2$ (qualitatively vertical speed represented by
gradient of graph is increasing) |

6 |
1 |
F |
As concentration of reagent increases so does reaction rate,
however as increase continues concentration of the catalyst becomes
the limiting factor (saturation) |

7 |
4 |
G |
When not food limited, bacteria follow exponential growth after
initial lag phase |

8 |
3 |
D |
Hours of daylight varies from a maximum at mid-summer to
minimum at mid-winter, with a mean value of 12 |

9 |
8 |
C |
Earth's orbit is not perfectly circular therefore small
oscillations about mean distance (1 AU) with period of one year
(note non-zero origin on vertical axis) |