When the celsius temperature is 30degrees, the corresponding fahrenheit temperature is 86degrees. when the celsius temperature is 80degrees, the corresponding fahrenheit temperature is 176 degrees . let c represent the celsius temperature and f the fahrenheit temperature.
a. express f as an exact linear function of c.
b. solve the equation in part a for c, thus expressing c as a function of f.
c. for what temperature is fequalsc?

First we need to write the general linear function as:

F = a*C + b

Second, we use the 2 first conditions and we have as a equations:

Then, resolving the system of equations, we have:

a = 1.8 and b = 32

A) So the linear function is:

F = 1.8*C + 32

B) So in this case we reverse the equation as follow:

Finally we have:

C) In this case, we consider F = C and we have:

So

C = F = -40degrees

wind moving at higher speeds will transfer more energy to the water, resulting in stronger waves.

speed of light in vacuum is 300,000 km/s

speed of light in other mediums is given by the expression v = c/n, where c is the speed of light in vacuum and n is the refractive index of medium.

for the first medium v = 200,000 km/s

  so, refractive index of medium = 300000/200000 = 1.5

    1.5 refractive index is usually for glass. so first medium is glass.

for the second medium v = 250,00 km/s

so, refractive index of medium = 300000/250000 = 1.2

    1.2 refractive index is usually for water. so second medium is water.

for the third medium v = 0 km/s

so, refractive index of medium = 300000/0 = ∞

    ∞ refractive index is usually for opaque mediums. so third medium is opaque medium.