Question

Please help. Thank you so much!

The table shows temperatures below freezing measured in different units. complete the equation in standard form to represent the relationship between F a temperature measured in degrees Farenheit and C a temperature measured in Celsius.
Question 1.
5F+__C=__
Question 2.
39°F=__°C rounded to nearest tenth of a degree.​

Answer 1

Answer: 5F+-9c=160 39 F= 3.9

Explanation:

Answer 2

`5F+(-9)C=160`

`39^(\circ)F=3.9^(\circ)C`

Explanation:

Let Celsius taking along x-axis and Fahrenheit taking along y- axis

From given table

`C_1=-25, C_2=-20,F_1=-13,F_2=-4`

Slope formula:
`m=(F_2-F_1)/(C_2-C_1)`

`m=(-4+13)/(-20+25)=(9)/(5)`

Point slope form:
`F-F_1=m(C-C_1)`

Now, substitute the values in the formula then we get

`F-(-13)=(9)/(5)(C+25)`

`F+13=(9)/(5)(C+25)`

`5F+65=9C+225`

`5F-9C=225-65=160`

`5F-9C=160`

Substitute F=
`39^(\circ)`

Then, we get

`39(5)-9C=160`

`195-9C=160`

`9C=195-160=35`

`C=(35)/(9)=3.9^(\circ)`

Hence,
`39^(\circ)F=3.9^(\circ)C`