Question 1

A population of bacteria starts with

400

cells and triples every hour. Which exponential equation represents the population

P

after

t

hours?

Accepted Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Question 2

An antique car is purchased for

400

and its value depreciates by

P

each year. Which equation models the car's value

t

after

t

years?

Accepted Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Question 3

A rare species of bird has a current population of

400

. Scientists estimate the population is decreasing at a rate of

P

per year. Which equation can be used to find the number of years,

t

, it will take for the population to reach

t

?

Accepted Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Question 4

A bank account is opened with an initial deposit of

400

and earns

P

interest compounded annually. Which equation represents the total balance

t

after

t

years?

Accepted Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Question 5

A scientist observes that a sample of a radioactive substance weighs

400

grams and loses half of its mass every

P

years. Which equation represents the mass

t

remaining after

t

years?

Accepted Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Question 6

An investment of

400

grows at a rate of

P

compounded quarterly. Which exponential equation represents the balance

t

after

t

years?

Accepted Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Question 7

A certain medicine has a half-life of

400

hours in the human body. If a patient takes a dose of

P

mg, which equation represents the amount of medicine

t

remaining in the bloodstream after

t

hours?

Accepted Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Question 8

An invasive plant species covers

400

square feet of a lake. The area covered by the plant doubles every

P

days. Which equation represents the area

t

covered after

t

days?

Accepted Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Question 9

The population of a city was

400

in the year 2010 and has been increasing at a continuous growth rate of

P

per year. Which equation models the population

t

, in thousands,

t

years after 2010 using the natural base

e

?

Accepted Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Question 10

The value of a certain stock portfolio starts at

400

and increases by

P

every

t

years. Which exponential equation models the value

t

after

e

years?

Accepted Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

Answer

P = 400(3)^t

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