Mastering Exponential Growth: Equations and Graphs Quiz

A population of bacteria doubles every 3 hours. If the initial population is 500, which statement is true about the population after 9 hours?

• The population after 9 hours is 1000.

• The population after 9 hours is 3000.

• The population after 9 hours is 4000.

• The population after 9 hours is 2000.

A car's value decreases exponentially over time. If it is worth $20,000 now and loses 15% of its value each year, which statement is true about its value after 2 years?

• The car will be worth $14,450 after 2 years.

• The car will be worth $15,000 after 2 years.

• The car will be worth $18,000 after 2 years.

• The car will be worth $12,000 after 2 years.

A bank offers an account with an interest rate of 5% compounded annually. If you deposit $1,000, which statement is true about the amount after 3 years?

• The amount after 3 years will be approximately $1,100.00.

• The amount after 3 years will be approximately $1,200.00.

• The amount after 3 years will be approximately $1,050.00.

• The amount after 3 years will be approximately $1,157.63.

A certain species of fish in a lake grows exponentially. If the current population is 200 and it grows by 50% each year, which statement is true about the population after 2 years?

• The population after 2 years will be 450.

• The population after 2 years will be 400.

• The population after 2 years will be 600.

• The population after 2 years will be 300.

A tree's height increases exponentially. If it is currently 4 feet tall and grows at a rate of 25% per year, which statement is true about its height after 1 year?

• The height of the tree after 1 year will be 5 feet.

• The height of the tree after 1 year will be 6 feet.

• The height of the tree after 1 year will be 3 feet.

• The height of the tree after 1 year will be 4.5 feet.

A virus spreads exponentially. If there are currently 10 infected individuals and the number doubles every day, which statement is true about the number of infected individuals after 4 days?

• 80

• 240

• 320

• 160

A smartphone's battery life decreases exponentially. If it starts at 100% and loses 20% each hour, which statement is true about the battery percentage after 3 hours?

• 51.2%

• 80%

• 40%

• 70%

A savings account grows exponentially due to compound interest. If you start with $500 and it grows to $1,500 in 5 years, which statement is true about the annual growth rate?

• The annual growth rate is approximately 30%.

• The annual growth rate is approximately 10%.

• The annual growth rate is approximately 15%.

• The annual growth rate is approximately 24.5%.

A certain type of investment grows exponentially. If you invest $1,000 and it grows to $2,000 in 4 years, which statement is true about the growth factor?

• The growth factor is 3.

• The growth factor is 0.5.

• The growth factor is 2.

• The growth factor is 1.5.

A tree's growth can be modeled by the function h(t) = 3e^(0.2t), where h is the height in feet and t is time in years. Which statement is true about the tree's height after 5 years?

• The height of the tree after 5 years is approximately 5.00 feet.

• The height of the tree after 5 years is approximately 15.75 feet.

• The height of the tree after 5 years is approximately 12.50 feet.

• The height of the tree after 5 years is approximately 8.16 feet.