Question

question 4 of 10
the formula used to convert degrees celsius to degrees fahrenheit is (f=\frac{9}{5}c + 32).
convert 68°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: 68°f = 122°c
b. (c=\frac{5}{9}f - 32); conversion: 68°f = 180°c
c. (c=\frac{5}{9}f - 32); conversion: 68°f = 20°c
d. (c=\frac{5}{9}(f - 32)); conversion: 68°f = 20°c

Explanation:

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

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: Substitute $F = 68$ into the formula for $C$

$C=\frac{5}{9}(68 - 32)=\frac{5}{9}\times36 = 20$.

Answer:

D. $C=\frac{5}{9}(F - 32)$; conversion: $68^{\circ}F = 20^{\circ}C$