The statement that best describes T⁻¹(x) is (a) the height above the surface (in kilometers) when the temperature is x degrees Celsius.
The equation of T⁻¹(x) is T⁻¹(x) = (x - 48.5)/2.5
The calculated value of T⁻¹(33) is -6.2
Which statement best describes T⁻¹(x)?
From the question, we have the following parameters that can be used in our computation:
T(h) = 48 .5 -2.5h
This can be expressed as
T(x) = 48 .5 -2.5x
So, we have
y = 48 .5 -2.5x
Make x the subject of the formula
2.5x = y - 48.5
x = (y - 48.5)/2.5
Express as an inverse function
y = (x - 48.5)/2.5
So, we have
T⁻¹(x) = (x - 48.5)/2.5
This implies that
T⁻¹(x) means the height above the surface (in kilometers) when the temperature is x degrees Celsius.
Calculating T⁻¹(33), we have
T⁻¹(33) = (33 - 48.5)/2.5
Evaluate
T⁻¹(33) = -6.2
Hence, the value of T⁻¹(33) is -6.2