Question

the formula used to convert degrees celsius to degrees fahrenheit is f = 9/5c + 32. convert 59°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 = 5/9f - 32; conversion: 59°f = 135°c b. c = 5/9f - 32; conversion: 59°f = 15°c c. c = 5/9(f - 32); conversion: 59°f = 106°c d. c = 5/9(f - 32); conversion: 59°f = 15°c

Explanation:

Step1: Solve formula for C

Given $F=\frac{9}{5}C + 32$, 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: Substitute F = 59

Substitute $F = 59$ into $C=\frac{5}{9}(F - 32)$, so $C=\frac{5}{9}(59 - 32)$. First calculate inside the parentheses: $59-32 = 27$. Then $C=\frac{5}{9}\times27=15$.

Answer:

D. $C=\frac{5}{9}(F - 32)$; conversion: $59^{\circ}F = 15^{\circ}C$