Question

solve the problem.
the formula for converting celsius temperature, c, to fahrenheit temperature, f, is
f = \frac{9}{5}c + 32
if fahrenheit temperature ranges from 50° to 122°, inclusive, what is the range for the celsius temperature?
10°c, 50°c
(122°c, 252°c)
(10°c, 50°c)
122°c, 252°c
question 22
1 pts

Explanation:

Step1: Find Celsius when F = 50

Given $F=\frac{9}{5}C + 32$, substitute $F = 50$. Then $50=\frac{9}{5}C+32$. Subtract 32 from both sides: $50 - 32=\frac{9}{5}C$, so $18=\frac{9}{5}C$. Multiply both sides by $\frac{5}{9}$: $C = 18\times\frac{5}{9}=10$.

Step2: Find Celsius when F = 122

Substitute $F = 122$ into $F=\frac{9}{5}C + 32$. Then $122=\frac{9}{5}C+32$. Subtract 32 from both sides: $122 - 32=\frac{9}{5}C$, so $90=\frac{9}{5}C$. Multiply both sides by $\frac{5}{9}$: $C=90\times\frac{5}{9} = 50$.

Answer:

$[10^{\circ}C,50^{\circ}C]$