Each of the following temperature ranges is in degrees Fahrenheit. Use the formula 𝐹=95𝐶+32 to find the corresponding temperature range in degrees Celsius (using interval notation and assume inclusion).𝑎. at or below 95°F 𝑏. at or above -13°F 𝑐. at or below 131°F 𝑑. at or above 32°F
Question
Each of the following temperature ranges is in degrees Fahrenheit. Use the formula 𝐹=95𝐶+32 to find the corresponding temperature range in degrees Celsius (using interval notation and assume inclusion).𝑎. at or below 95°F 𝑏. at or above -13°F 𝑐. at or below 131°F 𝑑. at or above 32°F
Solution
a. To convert 95°F to Celsius using the formula F=95C+32, we first subtract 32 from both sides to get F-32=95C. Then we divide both sides by 95 to solve for C: C=(F-32)/95. Substituting 95 for F gives us C=(95-32)/95 = 63/95 ≈ 0.663. So, "at or below 95°F" corresponds to "at or below approximately 0.663°C" in interval notation, this is (-∞, 0.663].
b. Substituting -13 for F in the formula C=(F-32)/95 gives us C=(-13-32)/95 = -45/95 ≈ -0.474. So, "at or above -13°F" corresponds to "at or above approximately -0.474°C" in interval notation, this is [-0.474, ∞).
c. Substituting 131 for F in the formula C=(F-32)/95 gives us C=(131-32)/95 = 99/95 ≈ 1.042. So, "at or below 131°F" corresponds to "at or below approximately 1.042°C" in interval notation, this is (-∞, 1.042].
d. Substituting 32 for F in the formula C=(F-32)/95 gives us C=(32-32)/95 = 0. So, "at or above 32°F" corresponds to "at or above 0°C" in interval notation, this is [0, ∞).
Similar Questions
ProblemSolve the formula for temperature for C𝐶 (degrees Celcius). F=95C+32𝐹=95𝐶+32
Given that the temperature Celsius is 30 degrees, the temperature Fahrenheit is approximately:Select one:a.86 degreesb.-4 degreesc.22 degreesd.113.5 degrees
The temperature in degrees Fahrenheit is a function of the temperature in degrees Celsius (x). The following function can be used to find the temperature in Fahrenheit if we are given the temperature in Celsius:f(x)=95 x+32If it is 14 degrees Celsius, what is the temperature in degrees Fahrenheit? (Round to the nearest whole degree)Group of answer choices4057532732
Create a table that shows the relationship between the units of temperature in degrees Celsius and Fahrenheit in the range of 50°C to 150°C. Use increments of 10°C.What is the formula to convert the temperature from Celsius to Fahrenheit?T(°F) = T(°C) + Convert the following degrees in Celsius to the degrees in Fahrenheit.The Relationship Between the Units of Temperature in Degrees Celsius and FahrenheitTemperature (°C) Temperature (°F)50 60 70 80 90 100 110 120 130 140 150
The equation above gives the Celsius temperature, C, corresponding to the Fahrenheit temperature, F. Find the Celsius temperature equivalent to 59° F. A. 15° C B. 20° C C. 27° C D. 47° CReset
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.