Chapter 6.7, Problem 73PE

The airline cost for x thousand passengers to travel round trip from New York to Atlanta is given by $C(x)=\sqrt{0.3x+1}$

Whereas C(x) is measured in millions of dollars and $x\ge 0$ (See Example 9.)

1. Find the airlines cost for 10,000 passengers $\left(x=10\right)$to travel from New York to Atlanta.

If the airline charges $320 per passenger, find the profit made by the airline for flying 10,000 passengers from New York to Atlanta.

Approximate the number of passengers who traveled from. New York to Atlanta if the total cost for the airline was $4 million.

Example 9

Applying a Radical function

On a certain surface, the speed s(x)(in miles per hour)of a car before the brakes were applied can be approximated from the length of its skid marks x (in feet) by,

1. Find the speed of a car before the brakes were applied if its skid mark are 361 ft long.

How long would you expect the slid marks to be if the car had been traveling the speed limit of 50 mph? (Round to the nearest foot.)