Each of the following temperature ranges is in degrees Fahrenheit. Use the formula F = 9 5 C + 32 to find the corresponding temperature range in degrees Celsius (using interval notation and assume inclusion).

A. 32 to 41 degrees
B. 77 to 86 degrees
C. -31 to -22 degrees
D. 104 to 122 degrees.

Respuesta :

I would say the the answer is b

Answer:

A. [98.6F,105.8F]

B. [170.6F,186.8F]

C. [-23.8F,-7.6F]

D. [219.2F,251.6F]

Step-by-step explanation:

A. 32 to 41 degrees

[tex]F=(\frac{9}{5}*^{o}C)+32[/tex]

Converting 32 [tex]^{o}C[/tex] to Farenheit:

[tex]F=(\frac{9}{5}*32)+32[/tex]

F=98.6F

Converting 41 [tex]^{o}C[/tex] to Farenheit:

[tex]F=(\frac{9}{5}*41)+32[/tex]

F=105.8F

Writing the answer in interval notation : [98.6F,105.8F]

B. 77 to 86 degrees

[tex]F=(\frac{9}{5}*^{o}C)+32[/tex]

Converting 77 [tex]^{o}C[/tex] to Farenheit:

[tex]F=(\frac{9}{5}*77)+32[/tex]

F=170.6F

Converting 86 [tex]^{o}C[/tex] to Farenheit:

[tex]F=(\frac{9}{5}*86)+32[/tex]

F=186.8F

Writing the answer in interval notation : [170.6F,186.8F]

C. -31 to -22 degrees

[tex]F=(\frac{9}{5}*^{o}C)+32[/tex]

Converting -31 [tex]^{o}C[/tex] to Farenheit:

[tex]F=(\frac{9}{5}*-31)+32[/tex]

F=-23.8F

Converting -22 [tex]^{o}C[/tex] to Farenheit:

[tex]F=(\frac{9}{5}*-22)+32[/tex]

F=-7.6F

Writing the answer in interval notation : [-23.8F,-7.6F]

D. 104 to 122 degrees

[tex]F=(\frac{9}{5}*^{o}C)+32[/tex]

Converting 104 [tex]^{o}C[/tex] to Farenheit:

[tex]F=(\frac{9}{5}*104)+32[/tex]

F=219.2F

Converting 122 [tex]^{o}C[/tex] to Farenheit:

[tex]F=(\frac{9}{5}*122)+32[/tex]

F=251.6F

Writing the answer in interval notation : [219.2F,251.6F]