Circle Geometry and Percentage Problems

This video tutorial covers various mathematical problems related to percentages and geometry. It begins with calculating the new price of sneakers after a 15% increase, followed by determining the future value of a savings bond with interest. The tutorial then explores video game scores using percentage increase, represents percent changes with diagrams, estimates fractions as decimals, and verifies circle measurements. The video concludes with a call to action for supporting the YouTube channel.

What is the new price of a pair of sneakers originally priced at $120 after a 15% increase?

• $130

• $135

• $138

• $140

If a savings bond was bought for $150 and earned $105 in interest, what will its value be when Elena is 20 years old?

• $307.50

• $350

• $255

• $315

Claire scored 50% more points than Tyler in a video game. If Tyler scored 't' points, which equation represents Claire's score?

• c = 1.5t

• c = 0.5t

• c = t + 0.5

• c = t + 50

Which of the following equations correctly represents Claire's score if she scored 50% more than Tyler?

• c = t + 50

• c = 0.5t + t

• c = t + 0.5t

• c = 1.5t

In a diagram representing a 30% decrease in miles driven, how many sections represent the remaining miles?

• 3 sections

• 5 sections

• 7 sections

• 10 sections

If a copy shop used 25% more paper this month than last month, how many sections would represent the increase in a diagram?

• 4 sections

• 2.5 sections

• 1 section

• 3 sections

What is the best decimal estimate for the fraction 29/40?

• 0.65

• 0.70

• 0.725

• 0.75

Could a circle with a diameter of 7.2 inches have a circumference of 28 inches?

• No, because 7.2 times pi is about 22.6

• Yes, because 7.2 times pi is 28

• Yes, because 7.2 times pi is about 30

• No, because 7.2 times pi is about 25

If a circle's diameter is 7.2 inches, what is its approximate circumference?

• 24 inches

• 28 inches

• 22.6 inches

• 30 inches

Which decimal is closest to the fraction 29/40?

• 0.725

• 0.80

• 0.75

• 0.70