Question

T(h) is the temperature (F) in the atmosphere as a function ofheight, h in miles čan be determined by the following function:T(h) =-16h +68The height in miles of a weather balloon as a function of time, .in minutes can be determined by the following function:ht) =0.I89rFind the temperature when the balloon has traveled for8 minutes

Answer 1

The temperature is 43.8 degrees Fahrenheit

Here, we want to find the temperature when the ballon has traveled for 8 minutes

We start by calculating the height attained for a ballon that has traveled 8 minutes

Mathematically, that would be;

`h(8)\text{ = 0.189}*8\text{ = 1.512 miles}`

Now, we proceed to get the temperature for a height of 1.512 miles

That would be;

`\begin{gathered} T(1.512)\text{ = -16(1.512) + 68} \\ =\text{ -24.192+68 = 43.808 } \end{gathered}`