Chapter 1.4, Problem 35E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

Use a graphing calculator with exponential regression capability to model the population of the world with the data from 1950 to 2010 in Table 1 on page 49. Use the model to estimate the population in 1993 and to predict the population in the year 2020.

To determine

**To estimate:** The population in 1993 and predict the population in 2020.

Explanation

**Given:**

The populations from the year 1900 to 2010 is shown below the table.

t (years since 1900) |
Population (millions) |

0 | 1650 |

10 | 1750 |

20 | 1860 |

30 | 2070 |

40 | 2300 |

50 | 2560 |

60 | 3040 |

70 | 3710 |

80 | 4450 |

90 | 5280 |

100 | 6080 |

110 | 6870 |

**Calculation:**

From the given table, let 0 corresponds to the year 1900 and 110 corresponds to the year ear 2010.

So the year 1993 corresponds for

Consider the several values from the table that is from the year 1950 to 2010.

50 | 2560 |

60 | 3040 |

70 | 3710 |

80 | 4450 |

90 | 5280 |

100 | 6080 |

110 | 6870 |

Using online graphing calculator to draw a graph for the years 1950 to 2010 and the corresponding population is shown below Figure 1.

Using Computer Algebra System, the equation of the model in the year 1950 to 2010 is as follows,

The equation of the model is *t* be the years after 1900 and *y* be the populations in million.

Using online graphing calculator to draw the graph for

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