Real-Life Applications of Geometric Mean and Growth Rates

A farmer has two fields. The first field has a length of 100 meters and a width of 50 meters. The second field has a length of 200 meters and a width of 25 meters. What is the geometric mean of the areas of the two fields?

• 2500 m²

• 5000 m²

• 10000 m²

• 7500 m²

A car travels 60 miles in the first hour and 90 miles in the second hour. What is the geometric mean of the speeds during these two hours?

• 80 miles per hour

• 73.48 miles per hour

• 75 miles per hour

• 70 miles per hour

A student scores 80 and 90 on two tests. If the student wants to find the geometric mean of these scores to predict future performance, what would it be?

• 85.00

• 78.00

• 82.50

• 84.85

A company’s revenue grew from $1,000 to $4,000 over four years. What is the geometric mean growth rate of the revenue per year?

• 100%

• 200%

• 75%

• 50%

In a city, the population was 10,000 in 2010 and grew to 40,000 in 2020. What is the geometric mean population growth rate over this period?

• 5.00%

• 25.00%

• 14.87%

• 10.25%

A recipe requires 2 cups of flour and 8 cups of sugar. If you want to find the geometric mean of the ingredients used, what would it be?

• 10

• 2

• 4

• 6

A basketball player scores 20 points in one game and 80 points in another. What is the geometric mean of the points scored in these two games?

• 30

• 50

• 40

• 70

A plant grows from 2 cm to 8 cm in height over a month. What is the geometric mean of the heights at the beginning and end of the month?

• 4 cm

• 6 cm

• 3 cm

• 5 cm

A store sells a shirt for $30 and a pair of pants for $120. What is the geometric mean price of the clothing items?

• 90

• 75

• 60

• 45

A student has a height of 150 cm and a height of 180 cm. What is the geometric mean of the student's heights?

• 165 cm

• 155 cm

• 164.32 cm

• 170 cm