Question

An airline offers daily flights between Chicago and Denver. The total monthly cost C (in millions of dollars) of these flights can be modeled by
C= square root of 0.2x+1
Where X is the number of passengers (in thousands). The total cost of the flights for June is $1.5 million. How many passengers flew in June? (Round your answer to the nearest person.)

Answer 1

Answer:

   6250

Step-by-step explanation:

Fill in the given number and solve for x. The answer is 1000x, rounded.

  $C=\sqrt{0.2x+1}\\\\1.5=\sqrt{0.2x+1} \quad\text{use given value for C}\\\\2.25=0.2x+1 \quad\text{square both sides}\\\\1.25=0.2x \quad\text{subtract 1}\\\\6.25=x \quad\text{multiply by 5}$

x is in thousands, so 6.25×1000 = 6,250 passengers flew in June.