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)= (30.5-x)/(2.5)`

b) 6.2 °C

Explanation:

a)
`T(h) = 30.5 - 2.5h\\2.5h = 30.5-T(h)\\h = (30.5-T(h))/(2.5)\\ T^(-1) (x)= (30.5-x)/(2.5)`

b)
`T^(-1) (x)= (30.5-x)/(2.5)\\\\T^(-1) (15)= (30.5-15)/(2.5)=6.2`