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>
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