Question

question 4 of 10
the formula used to convert degrees celsius to degrees fahrenheit is
$f = \frac{9}{5}c + 32$
convert $68^{\circ}$f to degrees celsius. solve the formula for $c$, and then use it to
convert the temperature.
which is the correct formula and conversion?
\\(\bigcirc\\) a. $c = \frac{5}{9}(f - 32)$; conversion: $68^{\circ}$f = $122^{\circ}$c
\\(\bigcirc\\) b. $c = \frac{5}{9}(f - 32)$; conversion: $68^{\circ}$f = $20^{\circ}$c
\\(\bigcirc\\) c. $c = \frac{5}{9}f - 32$; conversion: $68^{\circ}$f = $180^{\circ}$c
\\(\bigcirc\\) d. $c = \frac{5}{9}f - 32$; conversion: $68^{\circ}$f = $20^{\circ}$c

Explanation:

Step1: Isolate the term with C

Subtract 32 from both sides:
$F - 32 = \frac{9}{5}C$

Step2: Solve formula for C

Multiply both sides by $\frac{5}{9}$:
$C = \frac{5}{9}(F - 32)$

Step3: Substitute F=68 into formula

Calculate inside parentheses first:
$C = \frac{5}{9}(68 - 32)$

Step4: Compute the final value

Simplify the expression:
$C = \frac{5}{9} \times 36 = 20$

Answer:

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