Understanding exponential and logarithmic functions

• 4.3%

• 95.7%

• 0.043%

• 0.957%

A scientist is growing a colony of bacteria in a lab.

The colony starts with 530 bacteria and will triple in

size every hour. What will the size be in 6 hours?

There will be ______________bacteria.

A certain population of bacteria has an average growth rate of 0.02 bacteria per hour. The formula for the growth of the bacteria’s population is A = P0 (2.71828)0.02t , where P0 is the original population, and t is the time in hours. Which factor represents the rate at which the bacteria grows?

• 0.02t

• 2.71828

• 1,478

Ash has $8,000 in a savings account. The interest rate is 3% compounded once a year.

To the nearest cent, how much will he have in his account in 4 years?

• $9,004.07

• $2,2848.80

• $9,011.94

• $8,242.71

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by

29%. What is the multiplier in this problem?

• 1.29

• 0.71

• 0.29

• 1.71

A population of 600 deer doubles every year. What will the size of the deer population be in 5 years?

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?

If necessary, round your answer to the nearest whole number.

• 4 people.

• 22,972 people.

• 1,169,030 people.

• 1,188,311 people.

It is estimated that the population of the world is increasing at an average annual rate of 1.3%. If the 2008 population was about 6,641,000,000 predict the 2020 population.

• 7,453,435,556 people

• 6,745,343,556 people

• 7,754,375,446 people

• 2,878,556,791 people

A population of fish starts at 8,000 and increases by 6% per year.

What is the fish population in 10 years?

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

• ^.08

• ^1.08

• .92

• 8