Question

The formula F=9/5C+32 converts temperatures from Celsius C to Fahrenheit F. A. Solve the formula for C b. The boiling point of water is 212 degrees F. What is the temperature in Celsius? C. If a house thermostat is set at 80 degrees F, what is the setting in Celsius? Round your answer to the nearest tenth.

Answer 1

Answer:

(a) $\therefore C=\frac59(F-32)$

(b)The boiling point of water in Celsius scale is 100°C.

(c)The setting in Celsius scale is 26.7°C.

Step-by-step explanation:

Given that,the formula is

$F=\frac95 C+32$......(1)

(a)

Given that,

$F=\frac95 C+32$

$\Rightarrow F-32=\frac95 C+32-32$     [ subtracting 32  from both sides]

$\Rightarrow F-32=\frac95 C$

$\Rightarrow \frac95 C=F-32$

$\Rightarrow C=\frac59(F-32)$ ......(2)         [Multiplying $\frac59$  ]

$\therefore C=\frac59(F-32)$

(b)

Given that, the boiling point of water is 212°F.

Putting F=212 in equation (2)

$\therefore C=\frac59(212-32)$

$\Rightarrow C=\frac59\times 180$

$\Rightarrow C=5\times 20$

$\Rightarrow C=100$

The boiling point of water is 100°C.

(c)

Given that, a house thermostat is set at 80 degree.

Putting F=80 in equation (2)

$\therefore C=\frac59(80-32)$

$\Rightarrow C=\frac59\times 48$

$\Rightarrow C\approx26.7$

The setting in Celsius scale is 26.7°C.