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a. Temperature measured in degrees Fahrenheit is a linear function of temperature measured in degrees Celsius. Use the fact that 0°C is equal to 32°F and 100°C is equal to 212°F to write an equation for this linear function.
b. Use the function you obtained in part (a) to convert 15°C to Fahrenheit.
c. Convert 68°F to Celsius.
d. What temperature is the same in both the Celsius and Fahrenheit scales?
Please show the full work clearly and make sure to solve all parts correctly.
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03:11
When temperature is 0 degrees Celsius, the Fahrenheit temperature is $32 .$ When the Celsius temperature is 100 , the corresponding Fahrenheit temperature is 212 . Express the Fahrenheittemperature as a linear function of $C$ , the Celsius temperature, $F(C)$ .a. Find the rate of change of Fahrenheit temperature for each unit change temperature of Celsius.b. Find and interpret $F(28)$c. Find and interpret $F(-40)$
03:07
When temperature is 0 degrees Celsius, the Fahrenheit temperature is $32 .$ When the Celsius temperature is $100,$ the corresponding Fahrenheit temperature is $212 .$ Express the Fanrenheit temperature as a linear function of $C,$ the Celsius temperature, $F(C) .$a. Find the rate of change of Fahrenheit temperature for each unit change temperature of Celsius.b. Find and interpret $F(28)$ .c. Find and interpret $F(-40)$ .
03:00
a. Find the linear function $C=f(F)$ that gives the reading on the Celsius temperature scale corresponding to a reading on the Fahrenheit scale. Use the facts that $C=0$ when $F=32$ (freezing point) and $C=100$ when $F=212$ (boiling point).b. At what temperature are the Celsius and Fahrenheit readings equal?
02:38
Celsius and Fahrenheit Temperatures When the Celsius temperature is $0^{\circ},$ the corresponding Fahrenheit temperature is $32^{\circ} .$ When the Celsius temperature is $100^{\circ},$ the corresponding Fahrenheit temperature is $212^{\circ} .$ 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 $F=C$ a true statement?
Transcript
students. The linear equation of temperature in the goods foreign head. And the temperature in degrees Celsius is F. Is it calls to yes C. Plus. So here F. Is temperature in degree for only and she is temperature in degrees Celsius here ai and they are Afghanistan constance. So here when degree Celsius is you know When Degree C is 0° degree fall and it is that you do like this. So from the road farm we have 32° is the cost of. Yeah multiplied by zero plus. So from this one we have the easy coaster. 32 Deities inclusion. Next. When degree Celsius is close to 100 degrees degree following heat is the coastal 212°. So from the both family have 200 too. Well Increases it close to a multiplied by 100° plus the So 202. Well if it goes 200 years. So from equation one we have the easy costume 32 right equation 200. Hey is it close to 212 -30 two. Yeah. Is it coastal 180 divided by 800 one point. Hey, so from the pro farmer we have degree following his visit. Coastal one point. Yeah. See gloves. 30. So this is impression too. So it seems that required equation which is the required nutrition Bolivia intuition. Yeah. Next Given C. is 15° when C. 16 degrees. How much the degrees father. So then degrees Celsius. Do you like this for them? The question to we have the…
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