 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that the temperature of the atmosphere decreases about 5 degrees Fahrenheit for every 1000 feet that an airplane ascends. Thus if the ground level temperature is 95 degrees Fahrenheit the temperature can be found using the function T of H is equal to 95 minus 0.005 H where T is the temperature at height H find the temperature outside the airplane at height 750 feet also determine at what height the temperature will be 20 degrees Fahrenheit. Now let us start with the solution. Now in this question we are given a linear function T of H that is equal to 95 minus 0.005 H here T is a function of H that is showing relationship between the temperature T outside the airplane and the height H of the airplane and we have to find the temperature outside the airplane at the height of 750 feet that is when height H is equal to 750 feet we have to find T that is the temperature so we put H is equal to 750 in the function and we get T is equal to 95 minus 0.005 times H that is 750 which implies that T is equal to 95 minus 5 upon 1000 into 750 which is equal to 95 minus 5 into 750 is equal to 3750 upon 1000 which is equal to 95 minus 3.75 95 minus 3.75 is equal to 91.25 which implies T is equal to 91.25 so we can say that temperature is 91.25 degrees Fahrenheit at the height of 750 feet which is the required answer to the first part of the question also we need to find out at what height the temperature will be 20 degrees Fahrenheit we are given a linear function that is T of H is equal to 95 minus 0.005 H and now we are given if temperature is equal to 20 degrees Fahrenheit then we have to find the value of H that is height at this temperature to find the value of H we will put the value of T that is temperature is equal to 20 in this function and we will get 20 is equal to 95 minus 0.005 into H which implies that 20 minus 95 is equal to minus of 0.005 H 20 minus 95 will be equal to minus of 75 and this is equal to minus of 0.005 H that is 75 is equal to 0.005 H which implies H is equal to 75 upon 0.005 that is H is equal to 75 into 1000 upon 5 which implies that H is equal to 5 into 1 is 5 and 5 into 15 is 75 therefore we get the value of H as 15 into 1000 which is equal to 15,000 so we say that height is 15,000 feet when temperature is 20 degrees Fahrenheit this is the required answer this complete file session hope you enjoyed this session