Exploring Relationships in Equations and Graphs

The video tutorial covers relationships between quantities in equations and graphs. It includes problems such as calculating the cost of a yoga studio membership over months, determining the number of donuts left after a math class lesson, finding out how many points Sydney needs to score to tie her basketball record, and calculating earnings from mowing the lawn. Each problem is solved by forming and using equations, emphasizing the importance of understanding variables and operations.

What is the equation for the cost of a yoga studio membership for 'm' months?

• C = 35 - m

• C = 35 + m

• C = m/35

• C = 35m

How much does the membership cost for 20 months?

• $400

• $140

• $700

• $350

What is the equation for the number of donuts left at the end of the day?

• Y = X - 24

• Y = 24 - X

• Y = 24X

• Y = 24 + X

How many donuts are left after using 18 during the lesson?

• 2

• 6

• 24

• 18

After using 22 donuts during the lesson, how many are left?

• 24

• 2

• 22

• 6

What is the equation for the points Sydney needs to score to tie her record?

• P = 28 - R

• R = 28 - P

• R = 28 + P

• R = 28P

If Sydney has already scored 14 points, how many more does she need to tie her record?

• 28

• 16

• 14

• 12

If the total points Sydney is aiming for is 28 and she has already scored 16, how many more does she need?

• 12

• 10

• 14

• 16

What is the equation for calculating the earnings from mowing the lawn 'm' times?

• D = 12 + m

• D = 12m

• D = m/12

• D = 12 - m

How much will you earn if you mow the lawn 10 times?

• $100

• $120

• $220

• $12