Taylor P.

asked • 05/26/17

Algebra word problem

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.

1 Expert Answer

By:

Taylor P.

Thank you!
Can you help me with the last two steps as well?
 
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.
Report

05/26/17

Michael A.

tutor
You're welcome. For part 2, the revenue would be how much the airline made for flying 10,000 passengers. If we let R(x) = the revenue function = 320x, where x = the number of passengers in thousands, then R(10) would be 10,000 * 320. I assume the revenue would be in millions of dollars just as the cost is. Since you found the cost in part 1, then the profit would be R(10) - C(10). 
 
For part 3, find the value of x when C(x) = 4 (million)
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05/26/17

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