Exploring Proportional Relationships and Percents

This video tutorial by Mr. Undercoupler covers the big ideas of proportional relationships and percentages. It begins with an explanation of unit rates and their connection to proportional relationships, followed by how to write equations and graph these relationships. The tutorial also delves into percentages, explaining how they can be represented as fractions or decimals and their use in solving real-world problems. The video includes practice problems to reinforce the concepts discussed.

What does a unit rate describe?

• A rate with both numerator and denominator as one

• A rate where the denominator is one

• A rate with a numerator of one

• A rate that cannot be simplified

What is the equation form for a proportional relationship?

• x = ky

• y = kx

• y = k + x

• y = k/x

How can you find the constant of proportionality from a graph?

• By locating the point where x is 1

• By calculating the area under the graph

• By finding the slope of the line

• By finding the y-intercept

What does the cross products rule help to solve?

• Proportions

• Equations

• Unit rates

• Graphs

What does percent mean?

• Out of 1

• Out of 10

• Out of 100

• Out of 1000

How is the base or whole amount related to percentages?

• It is the resulting amount after applying the percentage

• It is the percentage amount itself

• It is the total amount the percentage is taken from

• It is the amount being reduced by the percentage

What formula is used to calculate simple interest?

• I = prt

• I = pr/t

• I = p + rt

• I = p/r + t

How do you calculate the final price after a discount?

• Original price / (1 - discount percentage)

• Original price + discount percentage

• Original price - discount percentage

• Original price * (1 - discount percentage)

What does the 'part over base equals x over 100' formula represent?

• The percent proportion formula

• The formula for calculating simple interest

• The formula for calculating discounts

• The formula for calculating tax

What is the greatest number of items that can be bought within a budget, considering tax?

• By dividing the budget by the item's price with tax

• By dividing the budget by the item's price without tax

• By subtracting the item's price with tax from the budget

• By multiplying the budget with the item's price with tax