{"id":283,"date":"2024-10-18T21:21:17","date_gmt":"2024-10-18T21:21:17","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/chapter\/modeling-complex-scenarios-get-stronger-answer-key\/"},"modified":"2024-10-18T21:24:46","modified_gmt":"2024-10-18T21:24:46","slug":"modeling-complex-scenarios-get-stronger-answer-key","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/chapter\/modeling-complex-scenarios-get-stronger-answer-key\/","title":{"raw":"Modeling Complex Scenarios: Get Stronger Answer Key","rendered":"Modeling Complex Scenarios: Get Stronger Answer Key"},"content":{"raw":"
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  1. After [latex]7 [\/latex] years, Marko will have planted a total of [latex]55[\/latex] tulips in his yard. To have planted at least [latex]113[\/latex] tulips, it will take Marko approximately [latex]18.6[\/latex] years.<\/li>\r\n \t
  2. In [latex]12[\/latex] years, Pam will have a total of [latex]2,322[\/latex] albums in her collection. To reach at least [latex]500[\/latex] albums, it will take Pam approximately [latex]0.32[\/latex] years.<\/li>\r\n \t
  3. In the year 2030, the store's annual sales will be $190,000.\u00a0 The store's sales exceeded [latex]$100,000[\/latex] in the year 2024.<\/li>\r\n \t
  4. In the year 2007, there would be [latex]500 [\/latex] houses in the town.\u00a0 The number of houses would have reached at least [latex]400 [\/latex] by the year 2003.67.\u00a0 Given that we measure time in whole years, we would round this to the nearest whole number. Since reaching [latex]400 [\/latex] houses occurs partway through the year, the town would have crossed the threshold in 2004.<\/li>\r\n \t
  5. The linear equation in slope-intercept form that predicts the number of beetles in the population in week [latex]n[\/latex] is: [latex]y<\/span>=<\/span><\/span>8<\/span>n<\/span>+<\/span><\/span>3<\/span><\/span>[\/latex], where [latex]y[\/latex] is the number of beetles and [latex]n[\/latex]\u00a0is the number of weeks.<\/li>\r\n \t
  6. The linear equation in slope-intercept form that predicts the number of streetlights in the town in month [latex]n[\/latex] is: [latex]y<\/span>=<\/span><\/span>4<\/span>n<\/span>+<\/span><\/span>130<\/span><\/span>[\/latex], where [latex]y[\/latex] is the number of streetlights and [latex]n[\/latex]\u00a0is the number of months since the initial count.<\/li>\r\n \t
  7. In the year 2016, the population of Tacoma would be approximately [latex]794,061[\/latex]. The population would exceed [latex]400,000[\/latex] around the year 2008.04. Given that we measure time in whole years, we can conclude that the population of Tacoma exceeded [latex]400,000[\/latex] in the year 2008. \u200b<\/li>\r\n \t
  8. In the year 2016, Portland's population would be approximately [latex]626,771[\/latex].\u00a0Portland\u2019s population will reach [latex]700,000[\/latex] around the year 2026.10. Given that we measure time in whole years, it can be concluded that the population of Portland is expected to reach [latex]700,000 [\/latex]in the year 2026. \u200b\u200b<\/li>\r\n \t
  9. Under the exponential growth model with a [latex]2\\%[\/latex] annual growth rate, the projected world population in 2015 would be approximately [latex]8.71[\/latex] billion. The world population would have reached [latex]10[\/latex] billion around the year 2022.<\/li>\r\n \t
  10. After correcting the calculation, the projected number of bacteria in [latex]1[\/latex] day ([latex]24[\/latex] hours) is approximately [latex]6,430[\/latex] bacteria.<\/li>\r\n \t
  11. The projected wolf population will be about [latex]544[\/latex] wolves in [latex]10[\/latex] years.<\/li>\r\n \t
  12. Two years after the trout were seeded into the lake, the population is projected to be approximately [latex]352[\/latex] trout. It would take a little over [latex]4[\/latex] years for the trout population in the lake to grow to [latex]1,000[\/latex].<\/li>\r\n \t
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