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We can make a table by choosing arbitrary $p-$values and calculate their corresponding $A-$values by using the given function.

$p$ | $0.08p$ | $A=0.08p$ | $(p,A)$ |
---|---|---|---|

$0$ | $0.08⋅0$ | $0$ | $(0,0)$ |

$0.5$ | $0.08⋅0.5$ | $0.04$ | $(0.5,0.04)$ |

$1$ | $0.08⋅1$ | $0.08$ | $(1,0.08)$ |

$1.5$ | $0.08⋅1.5$ | $0.12$ | $(1.5,0.12)$ |

$2$ | $0.08⋅2$ | $0.16$ | $(2,0.16)$ |

$3$ | $0.08⋅3$ | $0.24$ | $(3,0.24)$ |

$5$ | $0.08⋅5$ | $0.4$ | $(5,0.4)$ |

b

Let's plot the points we have calculated in Part A in a coordinate plane and connect them with a straight line.

c

To find the number of people who attended the concert in Philadelphia, where $1.5$ million people live, we look up the corresponding $A$-value to $p=1.5$ using the graph.

The number of people that saw the concert in Philadelphia is about $0.1$ million.

d

The domain of the function is all whole numbers.
$v≥0$
This is because the population in a city cannot be negative and it can not be a fraction. But would it make sense for a city have a population of $0?$ Well, there are ghost towns that have a population of $0.$ Therefore, we should include $0$ even though it is unlikely that *SR-71* would give a show in one.