Percentage and Proportional Relationships

The video tutorial covers various math problems, including calculating markups in a music store, determining tips at a restaurant, analyzing the percentage increase in gold prices, identifying proportional relationships, and solving a problem involving the total weight of cherries picked. Each section provides step-by-step solutions and explanations to help students understand the concepts and apply them to similar problems.

If a music store marks up an instrument by 30% and sells it for $104, what was the original price?

• $90

• $70

• $80

• $100

A music store sells a clarinet for $100 after a 30% markup. What was the original price?

• $85

• $80

• $70

• $75

A family spends $40.79 at a restaurant, including a tip, on a bill of $42. What was the tip amount?

• $2.21

• $3.21

• $4.21

• $1.21

What percentage of the bill was the tip if the bill was $42 and the tip was $7.77?

• 15.5%

• 18.5%

• 22.5%

• 20.5%

The price of gold increased from $513 to $1060. What was the percentage increase?

• 106.6%

• 110.6%

• 100.6%

• 120.6%

If the price of gold was $513 and increased to $1060, what was the dollar amount of the increase?

• $600

• $500

• $547

• $650

A phone tracks steps and distance. If the ratio of steps to distance is not constant, what does this indicate?

• Proportional

• Linear

• Not proportional

• Exponential

If a phone records 950 steps for 1 unit of distance, but 2852 steps for 3 units, is the relationship proportional?

• Sometimes

• No

• Always

• Yes

Noah picked 3 kg of cherries, and May picked half as much. How many kg did they pick together?

• 4.5 kg

• 3.5 kg

• 5 kg

• 4 kg

If May picked 1.5 kg of cherries and Noah picked 3 kg, what is the total weight of cherries picked?

• 4.5 kg

• 5 kg

• 3 kg

• 6 kg