Question

1.5
score: 12/13 answered: 12/13
question 13
a comfortable thermostat setting for a home air - conditioner is between 73° and 76°. express the temperature range in degrees celsius, °c, where (f = 1.8c + 32). round to 1 decimal place.
question help: ebook written example

Explanation:

Step1: Solve the formula for C

Given $F = 1.8C+32$, we can rewrite it as $C=\frac{F - 32}{1.8}$.

Step2: Convert the lower - bound temperature

When $F = 73$, $C=\frac{73 - 32}{1.8}=\frac{41}{1.8}\approx22.8$.

Step3: Convert the upper - bound temperature

When $F = 76$, $C=\frac{76 - 32}{1.8}=\frac{44}{1.8}\approx24.4$.

Answer:

$22.8^{\circ}C$ to $24.4^{\circ}C$