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

The equation 𝑐 = 3β„Ž shows the number of cakes Matthew baked in relation to the number of hours he spent baking them. The variable β„Ž represents the number of hours spent baking the cakes, and the variable 𝑐 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 𝑐 equals three β„Ž shows the number of cakes Matthew baked in relation to the number of hours he spent baking them. The variable β„Ž represents the number of hours spent baking the cakes. And the variable 𝑐 represents the number of cakes baked. How many cakes did Matthew make if he spent seven hours baking?

We have our equation 𝑐 equals three β„Ž. We know that the 𝑐 represents the cakes baked. And the cakes baked will be equal to three times the hours spent baking. We know that 𝑐 equals three β„Ž. And we’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„Ž-variable. If Matthew spent seven hours baking, the number of cakes he made will be equal to seven times three. 𝑐 equals 21.

Matthew baked 21 cakes in seven hours.

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