Input and Output Tables

Hi, and welcome to this video lesson on creating a table for an algebraic equation. Now, I realize algebra scares most students, and creating a graph or a table for an algebraic equation terrifies the rest, but don’t worry, we’ll start easy. Let’s take a look at this first equation.

The equation d is equal to 1.3 times t, where d is the distance in meters, and t is the time in seconds, represents a swimmer’s total approximate distance during a 1500-meter race. Create a table showing the swimmer’s approximate distance after 1 minute, 5 minutes, and 16 minutes.

Let’s start first with what we know, which actually are our unknowns, d and t. D is equal to the distance swam. T is equal to the time it takes a swim that distance, so for example, t could also be, like, miles per hour, but in this case it’s going to be meters per second, which is what they tell us right there.

We’re going to be multiplying whatever t is by 1.3. First, it appears that they have given us 1 minute, or 60 seconds. I’m using seconds here because the problem told us t was time in seconds. Multiplying 1.3 by 60 equals 78, but 78 what? Well the problem tells us that d is in meters, so 78 meters is going to be our answer.

We then do the same thing for the other 2 problems, multiply the number of seconds by 1.3 meters per second and get a certain distance. In the second case, 390, and lastly, 1248. See, that’s not so bad. I hope this helps. Thanks so much for watching this video lesson, and until next time, happy studying.