Calculating Missing Coordinates and Rate of Change

This video tutorial covers part two of calculating slope and rate of change. It explains how to find a missing coordinate when given a slope, using the slope formula and solving proportions. The video also includes real-world word problems to calculate the rate of change, such as changes in calculator prices and bank balances over time. The tutorial concludes with a summary of the concepts covered.

What is the main objective of this video tutorial?

• To understand the concept of derivatives

• To find the value of R for a given slope and solve word problems

• To learn about the history of mathematics

• To explore the applications of calculus

What is the slope given in the first problem?

• 2/3

• 3/4

• 4/5

• 5/6

Which formula is used to find the slope between two points?

• Pythagorean theorem

• y = mx + b

• Quadratic formula

• y2 - y1 / x2 - x1

What is the value of R in the first problem after solving the equation?

• -5

• 3

• -3

• 5

What method is used to solve the proportion in the first problem?

• Cross-multiplication

• Elimination

• Substitution

• Graphing

What is the value of R in the second problem after solving the equation?

• 6

• -4

• -6

• 4

What does the term 'rate of change' refer to in the context of the word problems?

• Finding the average

• Finding the integral

• Finding the slope

• Finding the derivative

What are the ordered pairs for the calculator cost problem?

• (2018, 14.75) and (2002, 11.50)

• (2018, 11.50) and (2002, 14.75)

• (2002, 14.75) and (2018, 11.50)

• (2002, 11.50) and (2018, 14.75)

What is the rate of change in the calculator cost problem?

• 25 cents per year

• 20 cents per year

• 15 cents per year

• 10 cents per year

What is the rate of change in the bank account problem?

• Gaining $50.56 each year

• Losing $60.56 each year

• Gaining $60.56 each year

• Losing $50.56 each year