#### To determine

**a)** Make a scatter plot of the following data.

**Time (hours)** |
**0** |
**4** |
**8** |
**12** |
**16** |
**20** |
**24** |

**Bacteria count****(CFU / mL )** |
**37** |
**47** |
**63** |
**78** |
**105** |
**130** |
**173** |

#### Explanation

The scatter plot is given by

**Final statement:** Please see the above Scatter plot

#### To determine

b) **To find:** an exponential curve f(t)=abt using graphic calculator to the following data

**Time (hours)** |
**0** |
**4** |
**8** |
**12** |
**16** |
**20** |
**24** |

**Bacteria count****(CFU / mL )** |
**37** |
**47** |
**63** |
**78** |
**105** |
**130** |
**173** |

#### Explanation

The exponential function to the given data using graphic calculator is f(t)=abt

where a=36.89301246 and b=1.066137331

**Final statement:** f(t)=(36.893)(1.066)t

#### To determine

**c)To solve**: the model from part(b) together with the scatter plot in part (a) and use the Trace feature to determine how long it takes the bacteria to double

#### Explanation

The graph the model from part(b) together with the scatter plot in part (a) is given below

**Final statement:** From the graph the bacteria count doubles in 10.87 hours