Chapter 5.5, Problem 51E

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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**Fuel Cost** The projected fuel cost *C* (in millions of dollars) for an airline from 2020 through 2030 is

*t* = 20 corresponds to 2020. After purchasing more efficient airplane engines, the fuel cost is expected to decrease and to follow the model

How much money will the airline save with the more efficient engines? Explain your reasoning.

To determine

**To calculate:** The money saved by the airline with the more efficient engines, if the projected fuel cost modelled by the function

Explanation

**Given Information:**

The projected fuel cost *C* (in millions of dollars per year) for an airline from 2020 to 2030 is modeled by the function

Here,

After purchasing more efficient truck engines, the fuel cost modeled by the function

**Formula used:**

Area of a region bounded by two graphs is calculated using the following formula,

If *f* and *g* are continuous on *x* in *f*, *g*,

**Calculation:**

The money saved by the airlines with the more efficient engines will be represented as the area of the region between the graphs of

As *t* in the interval

Sect-5.1 P-1CPSect-5.1 P-2CPSect-5.1 P-3CPSect-5.1 P-4CPSect-5.1 P-5CPSect-5.1 P-6CPSect-5.1 P-7CPSect-5.1 P-8CPSect-5.1 P-1SWUSect-5.1 P-2SWU

Sect-5.1 P-3SWUSect-5.1 P-4SWUSect-5.1 P-5SWUSect-5.1 P-6SWUSect-5.1 P-7SWUSect-5.1 P-8SWUSect-5.1 P-9SWUSect-5.1 P-10SWUSect-5.1 P-1ESect-5.1 P-2ESect-5.1 P-3ESect-5.1 P-4ESect-5.1 P-5ESect-5.1 P-6ESect-5.1 P-7ESect-5.1 P-8ESect-5.1 P-9ESect-5.1 P-10ESect-5.1 P-11ESect-5.1 P-12ESect-5.1 P-13ESect-5.1 P-14ESect-5.1 P-15ESect-5.1 P-16ESect-5.1 P-17ESect-5.1 P-18ESect-5.1 P-19ESect-5.1 P-20ESect-5.1 P-21ESect-5.1 P-22ESect-5.1 P-23ESect-5.1 P-24ESect-5.1 P-25ESect-5.1 P-26ESect-5.1 P-27ESect-5.1 P-28ESect-5.1 P-29ESect-5.1 P-30ESect-5.1 P-31ESect-5.1 P-32ESect-5.1 P-33ESect-5.1 P-34ESect-5.1 P-35ESect-5.1 P-36ESect-5.1 P-37ESect-5.1 P-38ESect-5.1 P-39ESect-5.1 P-40ESect-5.1 P-41ESect-5.1 P-42ESect-5.1 P-43ESect-5.1 P-44ESect-5.1 P-45ESect-5.1 P-46ESect-5.1 P-47ESect-5.1 P-48ESect-5.1 P-49ESect-5.1 P-50ESect-5.1 P-51ESect-5.1 P-52ESect-5.1 P-53ESect-5.1 P-54ESect-5.1 P-55ESect-5.1 P-56ESect-5.1 P-57ESect-5.1 P-58ESect-5.1 P-59ESect-5.1 P-60ESect-5.1 P-61ESect-5.1 P-62ESect-5.1 P-63ESect-5.1 P-64ESect-5.1 P-65ESect-5.1 P-66ESect-5.1 P-67ESect-5.1 P-68ESect-5.1 P-69ESect-5.1 P-70ESect-5.1 P-71ESect-5.1 P-72ESect-5.1 P-73ESect-5.1 P-74ESect-5.1 P-75ESect-5.2 P-1CPSect-5.2 P-2CPSect-5.2 P-3CPSect-5.2 P-4CPSect-5.2 P-5CPSect-5.2 P-6CPSect-5.2 P-7CPSect-5.2 P-8CPSect-5.2 P-1SWUSect-5.2 P-2SWUSect-5.2 P-3SWUSect-5.2 P-4SWUSect-5.2 P-5SWUSect-5.2 P-6SWUSect-5.2 P-7SWUSect-5.2 P-8SWUSect-5.2 P-9SWUSect-5.2 P-1ESect-5.2 P-2ESect-5.2 P-3ESect-5.2 P-4ESect-5.2 P-5ESect-5.2 P-6ESect-5.2 P-7ESect-5.2 P-8ESect-5.2 P-9ESect-5.2 P-10ESect-5.2 P-11ESect-5.2 P-12ESect-5.2 P-13ESect-5.2 P-14ESect-5.2 P-15ESect-5.2 P-16ESect-5.2 P-17ESect-5.2 P-18ESect-5.2 P-19ESect-5.2 P-20ESect-5.2 P-21ESect-5.2 P-22ESect-5.2 P-23ESect-5.2 P-24ESect-5.2 P-25ESect-5.2 P-26ESect-5.2 P-27ESect-5.2 P-28ESect-5.2 P-29ESect-5.2 P-30ESect-5.2 P-31ESect-5.2 P-32ESect-5.2 P-33ESect-5.2 P-34ESect-5.2 P-35ESect-5.2 P-36ESect-5.2 P-37ESect-5.2 P-38ESect-5.2 P-39ESect-5.2 P-40ESect-5.2 P-41ESect-5.2 P-42ESect-5.2 P-43ESect-5.2 P-44ESect-5.2 P-45ESect-5.2 P-46ESect-5.2 P-47ESect-5.2 P-48ESect-5.2 P-49ESect-5.2 P-50ESect-5.2 P-51ESect-5.2 P-52ESect-5.2 P-53ESect-5.2 P-54ESect-5.2 P-55ESect-5.2 P-56ESect-5.2 P-57ESect-5.2 P-58ESect-5.2 P-59ESect-5.2 P-60ESect-5.2 P-61ESect-5.2 P-62ESect-5.3 P-1CPSect-5.3 P-2CPSect-5.3 P-3CPSect-5.3 P-4CPSect-5.3 P-5CPSect-5.3 P-6CPSect-5.3 P-7CPSect-5.3 P-1SWUSect-5.3 P-2SWUSect-5.3 P-3SWUSect-5.3 P-4SWUSect-5.3 P-5SWUSect-5.3 P-6SWUSect-5.3 P-7SWUSect-5.3 P-8SWUSect-5.3 P-1ESect-5.3 P-2ESect-5.3 P-3ESect-5.3 P-4ESect-5.3 P-5ESect-5.3 P-6ESect-5.3 P-7ESect-5.3 P-8ESect-5.3 P-9ESect-5.3 P-10ESect-5.3 P-11ESect-5.3 P-12ESect-5.3 P-13ESect-5.3 P-14ESect-5.3 P-15ESect-5.3 P-16ESect-5.3 P-17ESect-5.3 P-18ESect-5.3 P-19ESect-5.3 P-20ESect-5.3 P-21ESect-5.3 P-22ESect-5.3 P-23ESect-5.3 P-24ESect-5.3 P-25ESect-5.3 P-26ESect-5.3 P-27ESect-5.3 P-28ESect-5.3 P-29ESect-5.3 P-30ESect-5.3 P-31ESect-5.3 P-32ESect-5.3 P-33ESect-5.3 P-34ESect-5.3 P-35ESect-5.3 P-36ESect-5.3 P-37ESect-5.3 P-38ESect-5.3 P-39ESect-5.3 P-40ESect-5.3 P-41ESect-5.3 P-42ESect-5.3 P-43ESect-5.3 P-44ESect-5.3 P-45ESect-5.3 P-46ESect-5.3 P-47ESect-5.3 P-48ESect-5.3 P-49ESect-5.3 P-50ESect-5.3 P-51ESect-5.3 P-52ESect-5.3 P-53ESect-5.3 P-54ESect-5.3 P-55ESect-5.3 P-56ESect-5.3 P-57ESect-5.3 P-58ESect-5.3 P-1QYSect-5.3 P-2QYSect-5.3 P-3QYSect-5.3 P-4QYSect-5.3 P-5QYSect-5.3 P-6QYSect-5.3 P-7QYSect-5.3 P-8QYSect-5.3 P-9QYSect-5.3 P-10QYSect-5.3 P-11QYSect-5.3 P-12QYSect-5.3 P-13QYSect-5.3 P-14QYSect-5.3 P-15QYSect-5.3 P-16QYSect-5.3 P-17QYSect-5.3 P-18QYSect-5.3 P-19QYSect-5.3 P-20QYSect-5.3 P-21QYSect-5.4 P-1CPSect-5.4 P-2CPSect-5.4 P-3CPSect-5.4 P-4CPSect-5.4 P-5CPSect-5.4 P-6CPSect-5.4 P-7CPSect-5.4 P-8CPSect-5.4 P-9CPSect-5.4 P-1SWUSect-5.4 P-2SWUSect-5.4 P-3SWUSect-5.4 P-4SWUSect-5.4 P-5SWUSect-5.4 P-6SWUSect-5.4 P-7SWUSect-5.4 P-1ESect-5.4 P-2ESect-5.4 P-3ESect-5.4 P-4ESect-5.4 P-5ESect-5.4 P-6ESect-5.4 P-7ESect-5.4 P-8ESect-5.4 P-9ESect-5.4 P-10ESect-5.4 P-11ESect-5.4 P-12ESect-5.4 P-13ESect-5.4 P-14ESect-5.4 P-15ESect-5.4 P-16ESect-5.4 P-17ESect-5.4 P-18ESect-5.4 P-19ESect-5.4 P-20ESect-5.4 P-21ESect-5.4 P-22ESect-5.4 P-23ESect-5.4 P-24ESect-5.4 P-25ESect-5.4 P-26ESect-5.4 P-27ESect-5.4 P-28ESect-5.4 P-29ESect-5.4 P-30ESect-5.4 P-31ESect-5.4 P-32ESect-5.4 P-33ESect-5.4 P-34ESect-5.4 P-35ESect-5.4 P-36ESect-5.4 P-37ESect-5.4 P-38ESect-5.4 P-39ESect-5.4 P-40ESect-5.4 P-41ESect-5.4 P-42ESect-5.4 P-43ESect-5.4 P-44ESect-5.4 P-45ESect-5.4 P-46ESect-5.4 P-47ESect-5.4 P-48ESect-5.4 P-49ESect-5.4 P-50ESect-5.4 P-51ESect-5.4 P-52ESect-5.4 P-53ESect-5.4 P-54ESect-5.4 P-55ESect-5.4 P-56ESect-5.4 P-57ESect-5.4 P-58ESect-5.4 P-59ESect-5.4 P-60ESect-5.4 P-61ESect-5.4 P-62ESect-5.4 P-63ESect-5.4 P-64ESect-5.4 P-65ESect-5.4 P-66ESect-5.4 P-67ESect-5.4 P-68ESect-5.4 P-69ESect-5.4 P-70ESect-5.4 P-71ESect-5.4 P-72ESect-5.4 P-73ESect-5.4 P-74ESect-5.4 P-75ESect-5.4 P-76ESect-5.4 P-77ESect-5.4 P-78ESect-5.4 P-79ESect-5.5 P-1CPSect-5.5 P-2CPSect-5.5 P-3CPSect-5.5 P-4CPSect-5.5 P-5CPSect-5.5 P-6CPSect-5.5 P-1SWUSect-5.5 P-2SWUSect-5.5 P-3SWUSect-5.5 P-4SWUSect-5.5 P-5SWUSect-5.5 P-6SWUSect-5.5 P-7SWUSect-5.5 P-8SWUSect-5.5 P-1ESect-5.5 P-2ESect-5.5 P-3ESect-5.5 P-4ESect-5.5 P-5ESect-5.5 P-6ESect-5.5 P-7ESect-5.5 P-8ESect-5.5 P-9ESect-5.5 P-10ESect-5.5 P-11ESect-5.5 P-12ESect-5.5 P-13ESect-5.5 P-14ESect-5.5 P-15ESect-5.5 P-16ESect-5.5 P-17ESect-5.5 P-18ESect-5.5 P-19ESect-5.5 P-20ESect-5.5 P-21ESect-5.5 P-22ESect-5.5 P-23ESect-5.5 P-24ESect-5.5 P-25ESect-5.5 P-26ESect-5.5 P-27ESect-5.5 P-28ESect-5.5 P-29ESect-5.5 P-30ESect-5.5 P-31ESect-5.5 P-32ESect-5.5 P-33ESect-5.5 P-34ESect-5.5 P-35ESect-5.5 P-36ESect-5.5 P-37ESect-5.5 P-38ESect-5.5 P-39ESect-5.5 P-40ESect-5.5 P-41ESect-5.5 P-42ESect-5.5 P-43ESect-5.5 P-44ESect-5.5 P-45ESect-5.5 P-46ESect-5.5 P-47ESect-5.5 P-48ESect-5.5 P-49ESect-5.5 P-50ESect-5.5 P-51ESect-5.5 P-52ESect-5.5 P-53ESect-5.5 P-54ESect-5.5 P-55ESect-5.5 P-56ESect-5.5 P-57ESect-5.5 P-58ESect-5.6 P-1CPSect-5.6 P-2CPSect-5.6 P-3CPSect-5.6 P-1SWUSect-5.6 P-2SWUSect-5.6 P-3SWUSect-5.6 P-4SWUSect-5.6 P-5SWUSect-5.6 P-6SWUSect-5.6 P-7SWUSect-5.6 P-8SWUSect-5.6 P-9SWUSect-5.6 P-10SWUSect-5.6 P-1ESect-5.6 P-2ESect-5.6 P-3ESect-5.6 P-4ESect-5.6 P-5ESect-5.6 P-6ESect-5.6 P-7ESect-5.6 P-8ESect-5.6 P-9ESect-5.6 P-10ESect-5.6 P-11ESect-5.6 P-12ESect-5.6 P-13ESect-5.6 P-14ESect-5.6 P-15ESect-5.6 P-16ESect-5.6 P-17ESect-5.6 P-18ESect-5.6 P-19ESect-5.6 P-20ESect-5.6 P-29ESect-5.6 P-30ESect-5.6 P-31ESect-5.6 P-33ECh-5 P-1RECh-5 P-2RECh-5 P-3RECh-5 P-4RECh-5 P-5RECh-5 P-6RECh-5 P-7RECh-5 P-8RECh-5 P-9RECh-5 P-10RECh-5 P-11RECh-5 P-12RECh-5 P-13RECh-5 P-14RECh-5 P-15RECh-5 P-16RECh-5 P-17RECh-5 P-18RECh-5 P-19RECh-5 P-20RECh-5 P-21RECh-5 P-22RECh-5 P-23RECh-5 P-24RECh-5 P-25RECh-5 P-26RECh-5 P-27RECh-5 P-28RECh-5 P-29RECh-5 P-30RECh-5 P-31RECh-5 P-32RECh-5 P-33RECh-5 P-34RECh-5 P-35RECh-5 P-36RECh-5 P-37RECh-5 P-38RECh-5 P-39RECh-5 P-40RECh-5 P-41RECh-5 P-42RECh-5 P-43RECh-5 P-44RECh-5 P-45RECh-5 P-46RECh-5 P-47RECh-5 P-48RECh-5 P-49RECh-5 P-50RECh-5 P-51RECh-5 P-52RECh-5 P-53RECh-5 P-54RECh-5 P-55RECh-5 P-56RECh-5 P-57RECh-5 P-58RECh-5 P-59RECh-5 P-60RECh-5 P-61RECh-5 P-62RECh-5 P-63RECh-5 P-64RECh-5 P-65RECh-5 P-66RECh-5 P-67RECh-5 P-68RECh-5 P-69RECh-5 P-70RECh-5 P-71RECh-5 P-72RECh-5 P-73RECh-5 P-74RECh-5 P-75RECh-5 P-76RECh-5 P-77RECh-5 P-78RECh-5 P-79RECh-5 P-80RECh-5 P-81RECh-5 P-82RECh-5 P-83RECh-5 P-84RECh-5 P-85RECh-5 P-86RECh-5 P-87RECh-5 P-88RECh-5 P-89RECh-5 P-90RECh-5 P-91RECh-5 P-92RECh-5 P-93RECh-5 P-94RECh-5 P-95RECh-5 P-96RECh-5 P-97RECh-5 P-98RECh-5 P-99RECh-5 P-100RECh-5 P-101RECh-5 P-102RECh-5 P-103RECh-5 P-104RECh-5 P-105RECh-5 P-106RECh-5 P-107RECh-5 P-108RECh-5 P-109RECh-5 P-110RECh-5 P-111RECh-5 P-112RECh-5 P-113RECh-5 P-114RECh-5 P-115RECh-5 P-1TYSCh-5 P-2TYSCh-5 P-3TYSCh-5 P-4TYSCh-5 P-5TYSCh-5 P-6TYSCh-5 P-7TYSCh-5 P-8TYSCh-5 P-9TYSCh-5 P-10TYSCh-5 P-11TYSCh-5 P-12TYSCh-5 P-13TYSCh-5 P-14TYSCh-5 P-15TYSCh-5 P-16TYSCh-5 P-17TYSCh-5 P-18TYSCh-5 P-19TYSCh-5 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