Question

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 = 139°c b. $c = \frac{5}{9}f - 32$; conversion: 77°f = 25°c c. $c = \frac{5}{9}f - 32$; conversion: 77°f = 225°c d. $c = \frac{5}{9}(f - 32)$; conversion: 77°f = 25°c

Explanation:

Step1: Isolate $C$ in given formula

Start with $F = \frac{9}{5}C + 32$. Subtract 32:
$F - 32 = \frac{9}{5}C$
Multiply by $\frac{5}{9}$:
$C = \frac{5}{9}(F - 32)$

Step2: Substitute $F=77$ into formula

$$\begin{align*} C &= \frac{5}{9}(77 - 32)\\ &= \frac{5}{9}(45)\\ &= 25 \end{align*}$$

Answer:

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