Please Please Help! (Algebra 3 part word problem)

Question

The airline cost for x passengers, measured in thousands of passengers, to travel round trip from New York to Atlanta is given by

 

c(x)=√0.3x+1 where c(x) is measured in millions of dollars and x≥0.

 

 

Find the airline’s cost for 10,000 passengers (remember, that would NOT be 10,000) to travel from New York to Atlanta. Use

 

the equation editor to show all work. Write a sentence to explain your answer.

 

Part 2 of 3:

If the airline charges $320 per passenger, find the profit made by the airline for flying 10,000 passengers from New York to Atlanta. Use the equation editor to show all work. Write a sentence to explain your answer. Remember: Profit = Revenue - Cost


Part 3 of 3:

Approximate the number of passengers who traveled from New York to Atlanta if the total cost for the airline was $4 million. Use the equation editor to show all work. Write a sentence to explain your answer.

Answer 1

To find the cost for 10000 passenger, set x=10 and solve for c(10).

 

c(10) = √(0.3(10) - 1)

 

 

The multiply the value of c(x) by 1000000 to get the actual cost.

 

 

profit = 320 - c(x)

profit = 320 - √(0.3x - 1)

 

Evaluate profit when x=10.   So you will take your answer from the previous question and subtract it from 320.

 

 

To find the number of passengers when total cost is 4 million,  set c(x)=4 and solve for x.