Exponential Word Problems

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week. (HINT: Write out the equation on a separate piece of paper and hen simplify inside the parenthesis)

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. Write an equation to represent the situation:

Does the following equation show growth or decay?
y=10,000*(0.76)^x

• Growth 

• Decay

You buy a new computer for $2100. The computer decreases by 50% annually. Which function represents the situation?

In 1995, there were 85 rabbits in Central Park. The population increased by 12% each year. How many rabbits were in Central Park in 2005? What is the equation for this situation?

In 1995, there were 85 rabbits in Central Park. The population increased by 12% each year. How many rabbits were in Central Park in 2005?

• 85

• 264

• 263

• 95

There are 500 rabbits in Lancaster on February 1st. If the amount of rabbits triples every month, write a function that represents the number of rabbits after "m" months.

There are 500 rabbits in Lancaster on February 1st. If the amount of rabbits triples every month. How many rabbits are there in Lancaster on August 1st?

• 1 million

• 2413

• 3000

• 364,500

The value of an early American coin increases in value at the rate of 6.5% annually. If the purchase price of the coin this year is $1,950, what is the value to the nearest dollar in 15 years? Write an equation for this situation.