Question

Scientists have found a relationship between the temperature and the height above a distant planet's surface. , given below, is the temperature in Celsius at a height of kilometers above the planet's surface. The relationship is as follows.

Answer 1

The question is incomplete, the complete question is below:

Scientists have found a relationship between the temperature and the height above a distant planet's surface. , given below, is the temperature in Celsius at a height of kilometers above the planet's surface. The relationship is as follows: T(h) = 30.5 -2.5h.

a) Calculate T^-1(x)

b) T^-1(15)

Answer:

a) $T^{-1} (x)= \frac{30.5-x}{2.5}$

b) 6.2 °C

Step-by-step explanation:

a) $T(h) = 30.5 - 2.5h\\2.5h = 30.5-T(h)\\h = \frac{30.5-T(h)}{2.5}\\ T^{-1} (x)= \frac{30.5-x}{2.5}$

b) $T^{-1} (x)= \frac{30.5-x}{2.5}\\\\T^{-1} (15)= \frac{30.5-15}{2.5}=6.2$