# Algebra

posted by .

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?

• Algebra -

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.

• Algebra -

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

• To MathMate - Algebra -

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

• Algebra -

Great minds think alike! haha!

## Similar Questions

1. ### physics

You work in a materials testing lab and your boss tells you to increase the temperature of a sample by 32.1 Celsius. The only thermometer you can find at your workbench reads in degrees Fahrenheit. If the initial temperature of the …
2. ### question

A temperature of 41 degrees F is equivalent to 278.2 degrees K, while a temperature of 86 degrees F is equivalent to 303.2 degrees K. Find the equation converting Kelvin temperature to Fahrenheit. What is the Fahrenheit temperature …
3. ### College Math

A temperature of 38 degrees Fahrenheit (F) is equivalent to 276.483 degrees Kelvin (K), while a temperature of 75 degrees F is equivalent to 297.039 degrees K. (a) Using the algebra methods from this class, find the equation converting …
4. ### Math

To convert a temperature in degrees Celsius to degrees Fahrenheit multiply the Celsius temperature by 9/5 and then add 32 F Is a temperature in degrees Celsius proportional to its equivalent temperature in degrees Fahrenheit.
5. ### Math

To convert a temperature in degrees Celsius to degrees Fahrenheit multiply the Celsius temperature by 9/5 and then add 32 F Is a temperature in degrees Celsius proportional to its equivalent temperature in degrees Fahrenheit.
6. ### Proportions

To convert a temperature in degrees Celsius to degrees Fahrenheit, multiply the Celsius temperature by 9/5 and then add 32 degrees. Is a temperature in degrees Celsius proportional to its equivalent temperature in degrees Fahrenheit?
7. ### math

The temperature on one day in January for Phoenix, AZ, is 59 degrees Fahrenheit. On the same day in Barrow, AK, the temperature is -16 degrees Fahrenheit. What is the difference between these two temperatures?
8. ### Algebra

In the metric system there are two official temperature scales: degree Celsius and kelvin. The kelvin temperature scale is obtained by shifting the Celsius scale so of any heat whatsoever. An equation about the relationship between …
9. ### Algebra

Write an equation in point-slope form to represent each situation. Assume a linear relationship between the given quantities. A temperature of 50 degrees Fahrenheit corresponds to 10 degrees Celcius. A temperature of 77degrees Fahrenheit …
10. ### math

1. A formula for converting degrees Fahrenheit F, to degrees Celsius, C, is C = 5/9(F - 32) Express F in terms of C If normal human body temperature is 37C what is this temperature in degrees Fahrenheit?

More Similar Questions