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TiliK225 [7]
3 years ago
8

You are on a limited budget and planning a four day camping trip to a national park. bus fare is 75 dollars each way and the rid

e takes 12 hours. plane fare is 150 dollars each way and and the ride takes an hour and a half. conduct a cost-benefit analysis to help you choose your method of travel.
Mathematics
1 answer:
Schach [20]3 years ago
6 0

Considering that you are planning the trip with limited budget and only for 4 days (=96h) you must value both time and money when doing it.

If you use the bus you spend $75 + $75=$150 and 12h + 12h = 24h. This means you spend $150 to enjoy 96h - 24h = 72h of actually camping. This means you pay $150/72h = $2,08 per hour of actual camping.

On the other hand if you choose the plane you spend $150 + $ 150 = $300 and 1,5h + 1,5h = 3h. This means you spend $300 to enjoy 96h - 3h = 93h. This means you pay $300/93h = $3,22 per hour of actual camping.

Considering all that, taking the bus his the most cost-effective option (and the cheaper one also).

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The two designers will charge same amount for 8 hours.

Step-by-step explanation:

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Let,

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A(x) = 480+105x    Eqn 1

Designer B charges;

Initial fee = $840

Charges per hour = $60

B(x)=840+60x     Eqn 2

When the amount will be same, both functions will be equal, therefore

A(x)=B(x)

480+105x=840+60x\\105x-60x=840-480\\45x=360

Dividing both sides by 45

\frac{45x}{45}=\frac{360}{45}\\x=8

The two designers will charge same amount for 8 hours.

Keywords: function, division

Learn more about functions at:

  • brainly.com/question/1414350
  • brainly.com/question/1430645

#LearnwithBrainly

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