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# Equation word problem: super yoga (1 of 2)

Using information from the Super Yoga word problem, explore all the possible combinations and create equations which express the possibilities. Let's figure out which plan is best! Created by Sal Khan.

## Want to join the conversation?

• on every math test, I always be like aww man I wish I was Khan who else?
• Just like me, he has years of experience on you, so if you enjoy math and look back 10 years from now, you will say how easy this was looking back, but new things always take time to learn. I am proof that you can still teach old dogs new tricks.
• who likes Minecraft
• How dose that have anything to do with math?
• so sal is just doing s*c+8 for the basic plan
• if s 6 the the basic plan will be = to monthly cost + number of sessions times 8 this is like monthly fee is 20 then 20+8*6 = 68
• isn't the basic plan better \$20 one month and \$8 for any session during the month. But for the trail every session \$12.
Example
(1 month with basic plan)
\$8x30=240
\$240+\$20=\$260
(1 month with trial plan)
\$12x30=\$360
• Everything with less than 5 sessions makes the trial plan better.
• So you would always combine like terms
?
(1 vote)
• Yes you always do because combining like terms is like simplifying fractions but instead terms to make the expression easier to understand.
• How many sessions are there in a month?
• Why isn't the \$8 per session not included in the \$20 per month?
• why do you say the same thing twice? no offence but that irritates me
(1 vote)
• HI! Sal does have a habit of saying things twice. I guess it is just his way of communicating? He tries hard on the videos, though. I hope this helps!
(1 vote)
• explain it in a different way .
(1 vote)
• Essentially, Sal explores two different equations with the independent variable, sessions (s) and the dependent variable, total cost (c). The trial plan is a direct variation equation, meaning that if you were to draw c=12s on a graph, it would be a straight line passing through the origin. In contrast, the basic plan starts with 20 dollars per month, meaning that if this line was drawn on a graph, it would intersect the y-axis at the point c (cost) = 20. Since the basic plan has a lesser cost per session, the cheapest plan depends on how many sessions you attend. However, it should be noted that since the basic plan has a lower cost per session, the trial plan's cost will eventually surpass the basic plan's cost. This could be seen when the two lines intersect on the graph. This scenario is fairly common in life since companies often charge more for individual payments than long term investments. I hope this helped! :)
(1 vote)
• How do you find the formula ?
(1 vote)
• For what, I don't understand which "formula" you are talking about.
(1 vote)