Question

question 8/16 linear equations 1 the formula used to convert a temperature from degrees fahrenheit (f) to degrees celsius (c) is ( c = \frac{5}{9}(f - 32) ). which of the following fahrenheit temperatures is equivalent to 60° celsius? select one answer a 76° b 92° c 108° d 140° carnegie 2023 learn by doing inc no solution saved

Explanation:

Step1: Rearrange formula for $F$

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

Step2: Isolate $F$

Add 32 to both sides:
$$F = \frac{9}{5}C + 32$$

Step3: Substitute $C=60$

Plug in $C=60$ into the formula:
$$F = \frac{9}{5} \times 60 + 32$$

Step4: Calculate the result

First compute $\frac{9}{5} \times 60 = 108$, then add 32:
$$F = 108 + 32 = 140$$

Answer:

D. $140^\circ$