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

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)=the square root 0.3x+1 where c(x) -s measured in millions of dollars and x is greater than or equal to 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.

Answer 1

Set c(x) equal to 10.

 

10 = √(0.3x + 1)

 

 

Solve for x.

 

Square both sides of the equation.

 

100 = 0.3x - 1

 

101 = 0.3x

 

101 = (3/10)x

 

101(10/3) = x

 

1010 / 3 = x

 

336.67 = x

 

337 = x

 

 

I am not sure how the number of passengers x are measured, since you did not specified.