# Question Video: Evaluating Variables by Direct Substitution in Given Linear Equations Representing Real-World Contexts Mathematics • 6th Grade

The equation 𝑐 = 3ℎ shows the number of cakes Matthew baked in relation to the number of hours he spent baking them. The variable ℎ 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?

01:18

### Video Transcript

The equation 𝑐 equals three ℎ shows the number of cakes Matthew baked in relation to the number of hours he spent baking them. The variable ℎ 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 ℎ. 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 ℎ. 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 ℎ-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.