Question Video: Evaluating Variables by Direct Substitution in Given Linear Equations Representing Real-World Contexts | Nagwa Question Video: Evaluating Variables by Direct Substitution in Given Linear Equations Representing Real-World Contexts | Nagwa

# Question Video: Evaluating Variables by Direct Substitution in Given Linear Equations Representing Real-World Contexts

The equation π = 3β shows the number of cakes Matthew baked in relation to the number of hours he spent baking them. The variable β represents the number of hours spent baking the cakes, and the variable π represents the number of cakes baked. How many cakes did Matthew make if he spent 7 hours baking?

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### Video Transcript

The equation π equals three β shows the number of cakes Matthew baked in relation to the number of hours he spent baking them. The variable β represents the number of hours spent baking the cakes. And the variable π represents the number of cakes baked. How many cakes did Matthew make if he spent seven hours baking?

We have our equation π equals three β. We know that the π represents the cakes baked. And the cakes baked will be equal to three times the hours spent baking. We know that π equals three β. And weβre interested in the number of cakes if Matthew spent seven hours baking. The hours spent baking would need to be plugged in for the β-variable. If Matthew spent seven hours baking, the number of cakes he made will be equal to seven times three. π equals 21.

Matthew baked 21 cakes in seven hours.

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