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# Linear graphs word problem: cats

Sal finds the y-intercept and the slope of a linear relationship representing someone accumulating cats! He then interprets what the y-intercept and the slope mean in that context. Created by Sal Khan.

## Want to join the conversation?

• I really can't seem to grasp all of these equations, how do i tell whether or not a graph represents a linear function?
• Basically if you have two variables and no exponents, then you are dealing with a linear equations. Exponents would signify that you are dealing with some sort of curve, possibly a parabola in the case of a quadratic. Also if you have just a single variable and still no exponents and are being asked to graph it as a line on a two dimensional grid, then you are dealing with a vertical or horizontal line. For instance x = 1 is a vertical line that crosses x at 1. While y = 2 is a horizontal line that crosses y at 2.
• how can you accumulate 30 cats in the time period of FIFTEEN DAYS. Calm down Jordan. They need to invest in some time to make their questions more reasonable.
• After 10 years how many cats would she have? wow...
• The equation of the line is: y = 2x + 10 where x = time in days and y = cats. 10 years is equal to 10(365) = 3650 days. So if we plug 3650 days in for time we would get y = 2(3650) + 10
which makes y = 7310 cats.
• Hi, I'm looking for a video or an explanation for something like this but a little different, with two independent variables and one dependent variable, for example, a club is selling hats for twelve dollars and sweatshirts for 26 dollars, write a function that represents the total amount the club can earn selling these? I have a vague idea for this but I'm not entirely sure, nor if I can use this method for this problem. Can anyone help, please?
• \$38 because it equals it when adding it up
• What is the triangle before the variables c & t?
• The Greek letter Delta, which means "change in". It describes the differences between two variables, the distance between two x values for example.
• In this video, he puts the change in cats over the change in time. Would it work to put the change in time over the change in cats? I've seen a few places where they put the change in time on the bottom, but is that always true or can you swap it around?
• If you did it the other way by putting change in time on the bottom you would get per half a day she would get one cat. Therefore, per day you would get 2 cats. It does seem to work for this question but I'm not entirely sure if it works for every example.
• You know the first three dimensions are up, right, and forward, but what is the fourth?

Time! But time only goes one direction at a constant rate perceived differently by different people. If you speed up, slow down, or go backward at any speed, that is the fifth dimension-time travel!

If you on purpose or accidentally do something wrong that shouldn't have happened, like playing on the swing when the timeline said you were supposed to play on the slide, then you have parallel or alternate dimensions-the sixth dimension. And if the universe were to go kablooie, it wouldn't fall apart-in fact, you wouldn't even know it happened. You would just be frozen in time for all of eternity. What is the seventh?