Question

question 6 of 10
the formula used to convert degrees celsius to degrees fahrenheit is (f=\frac{9}{5}c + 32).
convert 77°f to degrees celsius. solve the formula for c, and then use it to convert the temperature.
which is the correct formula and conversion?
a. (c=\frac{5}{9}f - 32); conversion: 77°f = 25°c
b. (c=\frac{5}{9}(f - 32)); conversion: 77°f = 25°c
c. (c=\frac{5}{9}(f - 32)); conversion: 77°f = 139°c
d. (c=\frac{5}{9}f - 32); conversion: 77°f = 225°c

Explanation:

Step1: Solve the formula $F=\frac{9}{5}C + 32$ for $C$.

First, subtract 32 from both sides: $F - 32=\frac{9}{5}C$. Then multiply both sides by $\frac{5}{9}$ to get $C=\frac{5}{9}(F - 32)$.

Step2: Convert 77°F to Celsius.

Substitute $F = 77$ into the formula $C=\frac{5}{9}(F - 32)$. So $C=\frac{5}{9}(77 - 32)=\frac{5}{9}\times45 = 25$.

Answer:

B. $C=\frac{5}{9}(F - 32)$; conversion: $77^{\circ}F = 25^{\circ}C$