We have a linear model, that relates temperature with altitude.
The first senctence gives us a clue about tha rate of change (the slope) of temperature in function of the altitude.
We can write the slope, in °F/1000 ft, as:
[tex]m=-1.2[/tex]The temperature on the ground, where h=0, is 56.9 °F, so we can write the equation of the line as:
[tex]T(h)=-1.2h+56.9[/tex]When the altitude is 8,000 ft, h=8 and T is:
[tex]T(8)=-1.2\cdot8+56.9=-9.6+56.9=47.3[/tex]The temperature at 8,000 ft will be 47.3 °F.
