Video: Evaluating Algebraic Expressions Involving Formulae in a Real-Life Context

The expression (9𝐶 + 160)/5 can be used to convert the temperature in degrees Celsius, 𝐶, into degrees Fahrenheit. If a thermometer shows a temperature of 60°C, determine the temperature in degrees Fahrenheit.

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Video Transcript

The expression nine 𝐶 plus 160 over five can be used to convert the temperature in degrees Celsius, 𝐶, into degrees Fahrenheit. If a thermometer shows the temperature of 60 degrees Celsius, determine the temperature in degrees Fahrenheit.

In this question, we’re given an expression which allows us to convert any temperature in degrees Celsius into one in degrees Fahrenheit. Here, we’re asked to work out the exact temperature in degrees Fahrenheit when the thermometer shows 60 degrees Celsius.

In our expression, the 𝐶-value represents the temperature in degrees Celsius. So, we need to substitute 𝐶 equals 60 into our expression. When we have a term such as nine 𝐶, this is the same as nine times 𝐶. So, when we substitute 𝐶 equals 60, this will give us nine times 60 plus 160 over five. We can then simplify our multiplication, giving us 540 plus 160 over five.

Next, we add the values on our top line before dividing, giving us 700 over five. And since 700 over five is the same as 700 divided by five, this will give us an answer of 140. And since we know that the answer will be a temperature in degrees Fahrenheit, we write this as 140 degrees Fahrenheit.

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