Question

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

Answer 1

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:

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

• 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

Analyzing Wild Fishing Inc. Offer for a three day trip

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

Expenses cost for Mr. Martin and his son if they chose Wild Fishing Inc

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.

Analyzing Fisherman's Service Offer for a three day trip

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

Expenses cost for Mr. Martin and his son if they chose Fisherman's Service

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.

Choosing the right company that offers a better 3 days deal:

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 $480 compare to the Wild Fishing Inc.'s deal that costs around 550$.

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

Checking Wild Fishing Inc. expenses for 6 days trip:

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 + $350 = 700$

Checking Fisherman's expenses for 6 days trip:

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.

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

Expression for Wild Inc.

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

Expression for Wild Inc.

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

Keywords: cost, expenses, deal

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