(a) Calculate the one temperature at which Fahrenheit and Celsius thermometers agree with each other.

Video transcript

Welcome back everybody. We are tasked with finding what temperature appears the same on both the Fahrenheit scale and the Celsius scale. When we know that to convert between the two. We have that the A. Fahrenheit temperature is equal to nine. Fifth time's a temperature in Celsius plus 32. In order to find when these are equal, I'm gonna set them equal to one another and just fill in the value of T both here and here. This gives us this formula of T equals 9/ T plus 32. And if we just solve for T, we will have our desired degree measure. So here's what I'm gonna do. I'm first get the T on the same side here. I'm gonna track subtract 9/5 T from both sides. Therefore we have T minus 9/5 T. Is equal to 32. What is this? Over here? On the left side? Well, you can think about this first term as just 5/5. T. 5/5 is just one, right, so one times T. Is just T. And this then gives us that are left side is negative four. Fifth T equal to 32. Now, I'll just multiply both sides by negative five over four. And this is going to have these terms cancel out on the left side, leaving us that our temperature is equal to 32 times negative 5/4. Which when you plug into your calculator gives us a degree measure of negative degrees, which will be the degree measure that appears the same on the Fahrenheit and Celsius scale corresponding to our answer choice of B. Thank you all so much for watching hope this video helped. We'll see you all in the next one.