Understanding Linear Functions and Number Systems

The video tutorial covers various mathematical concepts, including calculating the height of a balloon using slope, understanding the relationship between rational and irrational numbers, graphing the number of toys over time, determining dilation and scale factor in geometry, analyzing gym membership costs with linear equations, and calculating the mean absolute deviation of student heights.

What is the slope of the balloon's motion equation if it rises 20 feet in 5 seconds?

• 4

• 3

• 2

• 5

Which equation represents the height of the balloon over time?

• y = 2x

• y = 3x

• y = 5x

• y = 4x

In a Venn diagram, how do rational and irrational numbers relate?

• Irrational numbers are a subset of rational numbers.

• Rational numbers are a subset of irrational numbers.

• They do not overlap.

• They overlap completely.

Which statement is true about rational and irrational numbers?

• All irrational numbers are rational.

• All rational numbers are irrational.

• They have numbers in common.

• They are both part of the real number system.

What is the initial number of toys Rodolfo has?

• 25

• 10

• 15

• 20

How many new toys does Rodolfo get each month?

• 4

• 1

• 3

• 2

What is the equation representing the number of toys Rodolfo has over time?

• y = 10 + 2x

• y = 15 + 2x

• y = 20 + 2x

• y = 25 + 2x

What is the scale factor for the dilation if L' is at (14, -7) and L is at (8, -4)?

• 1.5

• 1.75

• 2

• 2.5

Which of the following is a dilation?

• Translation

• Scaling

• Reflection

• Rotation

What is the initial fee for the gym membership?

• $30

• $40

• $45

• $50