Question

One reading at an arctic station showed that the temperature was -35 degree Celsius. What is this temperature in Fahrenheit?

Answer 1

Hint: We use different units to measure different quantities. We can also measure one quantity by using various units. A specific amount of that quantity is taken as a unit quantity and all the other measurements are done with respect to that quantity. Temperature is used to measure the degree or intensity of heat present in a substance. The temperature is measured using Celsius or Fahrenheit, one unit is related to the other unit by a formula. Celsius and Fahrenheit are linearly related and are directly proportional to each other, that is, if one of the two increases, the other one also increases. Thus one can be converted into the other by using that formula. So, we can convert -35 degree Celsius into Fahrenheit by using the relation between the two.

Complete step-by-step solution:
We have measured the temperature in Celsius and we have to convert it into Fahrenheit.
We know that $F = \dfrac{9}{5}C + 32$
Here, $C = - 35$ , so we get –
$
  \Rightarrow F = \dfrac{9}{5}( - 35) + 32 \\
   \Rightarrow F = - 63 + 32 \\
   \Rightarrow F = - 31 \\
 $

Hence the temperature -35 degree Celsius

Note: $F = \dfrac{9}{5}C + 32$ is an algebraic expression in which F and C are the unknown variable quantities used to represent the temperature in Fahrenheit and Celsius and the arithmetic operations like addition, subtraction, multiplication and division are used to establish a link between the alphabets and numerical values. Using this equation, we can find the value of one of the unknown variables when the value of the other variable is known.