Super Yoga plans: Plotting points | Linear equations | Algebra I | Khan Academy

TL;DR

The video demonstrates a visual representation of the relationship between the number of sessions attended and the cost at the Super Yoga Studio.

Transcript

We were able to already answer some interesting questions about the different plans at the Super Yoga Studio, using the equations we set up. But I'm a very visual guy, and I want to make sure that I analyze the problem fully before I spend my hard earned dollars. And what I want to do now is really see a visual representation for the relationship b... Read More

Key Insights

• 🇨🇷 Visualizing the relationship between sessions attended and cost helps understand the cost variation at the Super Yoga Studio.
• ☠️ The trial plan has a constant rate of $12.00 increase in cost per session.
• ☠️ The basic plan has a constant rate of $8.00 increase in cost per session.

Questions & Answers

Q: How does attending zero sessions impact the cost at the Super Yoga Studio trial plan?

Attending zero sessions at the trial plan costs $0.00. This is represented by the point (0,0) on the graph.

Q: What is the cost of attending one session at the Super Yoga Studio trial plan?

Attending one session at the trial plan costs $12.00. This is represented by the point (1,12) on the graph.

Q: What is the cost of attending two sessions at the Super Yoga Studio trial plan?

Attending two sessions at the trial plan costs $24.00. This is represented by the point (2,24) on the graph.

Q: Is there a pattern in the relationship between the number of sessions attended and the cost at the Super Yoga Studio trial plan?

Yes, as the number of sessions attended increases, the cost also increases with a constant rate of $12.00 per session.

Q: How does attending zero sessions impact the cost at the Super Yoga Studio basic plan?

Attending zero sessions at the basic plan costs $20.00. This is represented by the point (0,20) on the graph.

Q: What is the cost of attending one session at the Super Yoga Studio basic plan?

Attending one session at the basic plan costs $28.00. This is represented by the point (1,28) on the graph.

Q: How does the cost change when adding sessions at the Super Yoga Studio basic plan?

Adding each session at the basic plan increases the cost by $8.00. For example, attending two sessions costs $36.00 (point: 2,36), a $8.00 increase from attending one session.

Q: What is the significance of the intersection point between the trial plan and basic plan lines?

The intersection point represents the number of sessions where both plans have the same cost. It provides insights into when it becomes more cost-effective to choose one plan over the other based on the desired number of sessions.

Summary & Key Takeaways

• The video illustrates the relationship between the number of sessions attended and the associated cost at the Super Yoga Studio using a graph.

• Two plans, the trial plan and the basic plan, are analyzed to show the cost variation based on the number of sessions attended.

• By plotting the cost on the vertical axis and the number of sessions on the horizontal axis, a line representing various cost-session combinations is formed for each plan.