A temperature of 30 degrees F is equivalent to 271.89 degrees K, while a temperature of 94 degrees F is equivalent to 307.44 degrees K. Find the equation converting Kelvin temperature to Fahrenheit. What is the Fahrenheit temperature when it is 212 degrees K?

Assume a linear relationship of:

F=mK+b ....(1)
where m=slope, and b=intercept.

We have two given points, (271.89,30) and (307.44,94)

The standard formula for m (slope) is:
m=(y2-y1)/(x2-x1)=(94-30)/(307.44-271.89)=1.8
With m=1.8, substitute one of the points into equation (1) to find b:
30=1.8(271.89)+b
b=30-1.8(271.89)=-459.4

So the conversion equation is:
F=1.8K-459.4

I leave it to you to substitute K=212 in order to find the fahrenheit degrees.

Let F = aK + b , (treating it like the linear equation y = mx + b)

we have two points (271.89, 30) and (307.44, 94)
a = slope = (94-30)/(307.44 - 271.89) = 64/35.55
= 1.80028
let's go with 1.8

so F = 1.8K + b
sub in (271.89,30) to find b
30 = 1.8(271.89) + b
b = -459.48

F = 1.8K - 459.48
so when K = 212
F = 1.8(212) - 459.48 = -77.9° Fahrenheit

What's that saying again, some kind of minds thinking alike ?? lol

Great minds think alike! haha!

To find the equation converting Kelvin temperature to Fahrenheit, we need to use the two given temperature values and solve for the equation.

Let's start by finding the equation. We have two sets of temperatures, (30°F, 271.89 K) and (94°F, 307.44 K).

First, let's find the slope of the equation:
slope = (change in Y) / (change in X)

slope = (307.44 K - 271.89 K) / (94°F - 30°F)
slope = 35.55 K / 64°F
slope ≈ 0.555 K/°F

Now, let's find the equation using the slope and one of the points:
y - y1 = m(x - x1)

Using the point (30°F, 271.89 K):
y - 271.89 K = 0.555 K/°F * (x - 30°F)
y - 271.89 K ≈ 0.555 K/°F * x - 16.65 K/°F

Simplifying the equation:
y ≈ 0.555 K/°F * x + (271.89 K + 16.65 K)
y ≈ 0.555 K/°F * x + 288.54 K

So, the equation converting Kelvin temperature (K) to Fahrenheit (°F) is:
°F ≈ 0.555 * K + 288.54

Now, let's find the Fahrenheit temperature when it is 212 degrees K by substituting the value of K into the equation:
°F ≈ 0.555 * 212 + 288.54
°F ≈ 117.66 + 288.54
°F ≈ 406.20

Therefore, when it is 212 degrees K, the Fahrenheit temperature is approximately 406.20°F.