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wlad13 [49]
3 years ago
7

Mr. Martin and his son are planning a fishing trip to Alaska. The rates of two companies are shown.

Mathematics
1 answer:
Mumz [18]3 years ago
8 0

Answer:

Part A) Fisherman's Service will provide a better deal for a three days trip as it will cost $480 compare to the Wild Fishing Inc.'s deal that costs around 550$

Part B) Wild Fishing's Inc. would charge $700 for 6 days for both of them.

Part C) Let w be expression for Wild Fishing Inc. to represent the cost of the trip for both Mr. Martin and his son for n number of days trip.

w = 2(200) + 2n(25) = 400 + 50n

Let f be expression for Fisherman's Service to represent the cost of the trip for both Mr. Martin and his son for n number of days trip.

f = 2(150) + 2n(30) = 300 + 60n

Step-by-step explanation:

<em>Part (A) Which company offers a better deal for a three day trip for Mr. Martin and his son? What will be the cost?</em>

  • The rate offered by Wild Fishing Inc:

        Round Trip Flight $200 / Daily Rate $25

  • The rate offered by Fisherman's Service:

        Round Trip Flight $150 / Daily Rate $30

<em>Analyzing Wild Fishing Inc. Offer for a three day trip</em>

  • As Mr. Martin and his son are planning a fishing trip to Alaska.

<u><em>Expenses cost for Mr. Martin and his son if they chose Wild Fishing Inc</em></u>

The formula to calculate Mr Martin expenses for 3 day trip:

Round trip Cost +  3 (Daily rate) ⇒ 200 + 3 (25) = $275.......[A]

The formula to calculate Mr Martin's son expenses for 3 day trip:

Round trip Cost +  3 (Daily rate) ⇒ 200 + 3 (25) = $275.......[B]

Adding Equation [A] and [B] will bring the net expense faced by Mr. Martin and his son if they chose to get Wild Fishing Inc. deal:

Net expense faced by Mr. Martin and his son: 275 + 275 = 550$

So, Wild Fishing Inc. will cost 550$ to both Mr. Martin and his son.

<em>Analyzing Fisherman's Service Offer for a three day trip</em>

As Mr. Martin and his son are planning a fishing trip to Alaska.

<u><em>Expenses cost for Mr. Martin and his son if they chose Fisherman's Service</em></u>

The formula to calculate Mr Martin expenses for 3 day trip:

Round trip Cost +  3 (Daily rate) ⇒ 150 + 3 (30) = $240.......[A]

The formula to calculate Mr Martin's son expenses for 3 day trip:

Round trip Cost +  3 (Daily rate) ⇒ 150 + 3 (30) = $240.......[B]

Adding Equation [A] and [B] will bring the net expense faced by Mr. Martin and his son if they chose to get Fisherman's Service deal:

Net expense faced by Mr. Martin and his son: 240 + 240 = 480$

So, Fisherman's Service will cost 480$ to both Mr. Martin and his son.

<em>Choosing the right company that offers a better 3 days deal:</em>

As we have determined that

  • Wild Fishing Inc. will cost 550$ to both Mr. Martin and his son.
  • Fisherman's Service will cost 480$ to both Mr. Martin and his son.

Therefore, Fisherman's Service will provide a better deal for a three days trip as it will cost $480 compare to the Wild Fishing Inc.'s deal that costs around 550$.

<em>Part (B) Which company would charge $700 for 6 days for both of them?</em>

<u><em>Checking Wild Fishing Inc. expenses for 6 days trip:</em></u>

The formula to calculate Mr Martin expenses for 6 day trip:

Round trip Cost +  6 (Daily rate) ⇒ 200 + 6 (25) = $350.......[A]

The formula to calculate Mr Martin's son expenses for 3 day trip:

Round trip Cost +  6 (Daily rate) ⇒ 200 + 6 (25) = $350.......[B]

Adding Equation [A] and [B] will bring the net expense faced by Mr. Martin and his son if they chose to get Wild Fishing Inc. deal for 6 days:

Net expense faced by Mr. Martin and his son: $350 + $350 = 700$

<u><em>Checking Fisherman's expenses for 6 days trip:</em></u>

The formula to calculate Mr Martin expenses for 6 day trip:

Round trip Cost +  6 (Daily rate) ⇒ 150 + 6 (30) = $330.......[A]

The formula to calculate Mr Martin's son expenses for 3 day trip:

Round trip Cost +  6 (Daily rate) ⇒ 150 + 6 (30) = $330.......[B]

Adding Equation [A] and [B] will bring the net expense faced by Mr. Martin and his son if they chose to get Fisherman's Service deal for 6 days:

Net expense faced by Mr. Martin and his son: $330 + $330 = 680$

So, Wild Fishing's Inc. would charge $700 for 6 days for both of them.

<em>Part (C) Write an expression to represent the cost of the trip for Mr. Martin and his son for each company.</em>

<em><u>Expression for Wild Inc.</u></em>

Let w be expression for Wild Fishing Inc. to represent the cost of the trip for both Mr. Martin and his son for n number of days trip.

w = 2 (Round trip Cost) +  2n (Daily rate)

As Round trip costs $200 and $25 is the daily rate for Wild Fishing Inc.

So, w can be written as:

w = 2(200) + 2n(25) = 400 + 50n

<em><u>Expression for Wild Inc.</u></em>

Let f be expression for Fisherman's Service to represent the cost of the trip for both Mr. Martin and his son for n number of days trip.

f = 2 (Round trip Cost) +  2n (Daily rate)

As Round trip costs $150 and $30 is the daily rate for Fisherma''s Service.

So, w can be written as:

f = 2(150) + 2n(30) = 300 + 60n

<em>Keywords: cost, expenses, deal</em>

<em> Learn more about word problem from brainly.com/question/13060938</em>

<em> #learnwithBrainly</em>

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