the airline cost for x thousand passengers to travel round trip from nyc to atlanta is given by C(x)= radical 0.3x+1
where C(x) is measured in millions of dollars and x> 0.
find the airline's cost for 15,000 passengers (x=15) to travel from new york to atlanta. round your answer to a tenth of a million dollars.
C(15)=$ ____________million.
To find the airline's cost for 15,000 passengers (x = 15), we need to substitute the value of x into the function C(x) and calculate the result.
Given: C(x) = √(0.3x + 1)
Substituting x = 15 into the function:
C(15) = √(0.3(15) + 1)
= √(4.5 + 1)
= √(5.5)
≈ 2.345207
Rounding to the nearest tenth of a million dollars:
C(15) ≈ $2.3 million.
To find the airline's cost for 15,000 passengers (x = 15) to travel from New York to Atlanta, we need to substitute the value of x into the function C(x) = √(0.3x + 1).
Let's calculate it step by step:
1. Substitute the value of x into the function:
C(15) = √(0.3(15) + 1)
2. Multiply 0.3 by 15:
C(15) = √(4.5 + 1)
3. Add 4.5 and 1:
C(15) = √5.5
4. Evaluate the square root of 5.5 using a calculator:
C(15) ≈ 2.34520788
5. Round the answer to the nearest tenth of a million dollars:
C(15) ≈ $2.3 million
Therefore, the airline's cost for 15,000 passengers to travel from New York to Atlanta is approximately $2.3 million.