Answer:
![3600](https://img.qammunity.org/2022/formulas/business/college/ec5cxa1vukql723grup6mr39llxg17ozqg.png)
Explanation:
One is asked to find the cost of a vacation when given the following information;
Travel: 150
Hotel: 50 per day
Spending money: 250
One is asked to calculate the cost of the vacation for (4) people over the course of (7) days. In order to solve this problem, one must make a few assumptions.
- Each cost is per person, therefore one will have to multiply the cost by the number of people.
- The travel is per every one time, thus one will have to multiply it by (2) to account for the cost to travel back home.
- Everyone stays in their own hotel room, therefore, one must multiply the hotel cost by the number of people
- The spending money is for the entire vacation and not per day.
With these assumptions, one can form the following equaton;
x = number of people = 4
y = number of days = 7
![travel\ cost= (2(x(150))\\\\hotel\ cost= (y(x(50))\\\\spending\ money= (x(250))\\\\total\ cost= (travel\ cost)+(hotel\ cost) + (spending\ money)](https://img.qammunity.org/2022/formulas/mathematics/high-school/kgp856fau4cs7q5210ofl8sm72s7v8qo8v.png)
Substitute,
![total\ cost= (travel\ cost)+(hotel\ cost) + (spending\ money)](https://img.qammunity.org/2022/formulas/mathematics/high-school/caz52wigrrlo2wc70235jdpsa3najlrikr.png)
![total\ cost= 2(4(150))+(7(4(50))+(4(250))](https://img.qammunity.org/2022/formulas/mathematics/high-school/qqp6v6ko66x89yv3f75uxdo5flwqnh0rih.png)
Simplify,
![total\ cost= 2(4(150))+(7(4(50))+(4(250))](https://img.qammunity.org/2022/formulas/mathematics/high-school/qqp6v6ko66x89yv3f75uxdo5flwqnh0rih.png)
![total\ cost= 2(600)+(7(4(50))+(4(250))\\=2(600)+7(200)+4(250)\\=2(600)+7(200)+1000\\=2(600)+1400+1000\\=1200+1400+1000\\=2600+1000\\=3600](https://img.qammunity.org/2022/formulas/mathematics/high-school/yp7d6wtcc6maltin2gsz7x2pgqfamgh48u.png)