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Answer :
We are given the conversion function
[tex]$$
C(F)=\frac{5}{9}(F-32)
$$[/tex]
which converts a Fahrenheit temperature [tex]$F$[/tex] to its equivalent in Celsius. Here is the step-by-step process:
1. Substitute the Fahrenheit temperature [tex]$76.1^\circ$[/tex] into the function:
[tex]$$
C(76.1)=\frac{5}{9}(76.1-32)
$$[/tex]
2. Calculate the difference:
[tex]$$
76.1 - 32 \approx 44.1
$$[/tex]
3. Multiply by the conversion factor [tex]$\frac{5}{9}$[/tex]:
[tex]$$
\frac{5}{9} \times 44.1 \approx 24.5
$$[/tex]
Thus, [tex]$C(76.1)$[/tex] is approximately [tex]$24.5^\circ$[/tex] Celsius.
This value represents the temperature of [tex]$76.1^\circ$[/tex] Fahrenheit converted to degrees Celsius.
[tex]$$
C(F)=\frac{5}{9}(F-32)
$$[/tex]
which converts a Fahrenheit temperature [tex]$F$[/tex] to its equivalent in Celsius. Here is the step-by-step process:
1. Substitute the Fahrenheit temperature [tex]$76.1^\circ$[/tex] into the function:
[tex]$$
C(76.1)=\frac{5}{9}(76.1-32)
$$[/tex]
2. Calculate the difference:
[tex]$$
76.1 - 32 \approx 44.1
$$[/tex]
3. Multiply by the conversion factor [tex]$\frac{5}{9}$[/tex]:
[tex]$$
\frac{5}{9} \times 44.1 \approx 24.5
$$[/tex]
Thus, [tex]$C(76.1)$[/tex] is approximately [tex]$24.5^\circ$[/tex] Celsius.
This value represents the temperature of [tex]$76.1^\circ$[/tex] Fahrenheit converted to degrees Celsius.
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