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Exponential Functions Regents MC

Last updated over 4 years ago
24 questions
1

The country of Benin in West Africa has a
population of 9.05 million people.
The population is growing at a rate of 3.1% each year.
Which function can be used to find the population
7 years from now?

1

The table shows the temperature, T(m),
of a cup of hot chocolate that is allowed
to chill over several minutes, m.

Which expression best fits the data for T(m) ?

1

Kaiden has his money invested in a stock portfolio.
The value, v(x), of his portfolio can be modeled
with the function v(x) = 30,000(0.78) x ,
where x is the number of years since he made
his investments. Which statement describes the
rate of change of the value of his portfolio?

1

If a population of 100 cells triples every hour,
which function represents p(t) ,
the population after t hours?

1

The number of bacteria grown in a lab can be modeled by
P(t) = (300)( 2 4t ), where t is the number of hours.
Which expression is equivalent to P(t) ?

1

Tristan's $15,000 car depreciates in value at
a rate of 19% per year. The value, V ,
after t years can be modeled by the function
V = 15,000(0.81) t .
Which function is equivalent to the original function?

1

The Ebola virus has an infection rate of
11% per day as compared to the SARS virus,
which has a rate of 4% per day.

If there were one case of Ebola and 30 cases of
SARS initially reported to authorities and cases
were reported each day, which statement is true?

1

A population of bacteria can be modeled by the function
f(t) = 1000(0.98) t , where t represents the population
of the remaining bacteria at time, t .
What is the rate of decay for this population?

1

Nayha inherited a savings account that was started
by her grandmother 25 years ago. This scenario is modeled
by the function A(t) = 5000(1.013) t + 25 ,
where A(t) represents the value of the account,
in dollars, t years after the inheritance.
Which function below is equivalent to A(t) ?

1

The table shown represents the function F.

The equation that represents this function is

1

Rae invests $400 in a savings bond.
The value of the bond, V(x), in hundreds of dollars
after x years is illustrated in the table below.

Which equation and statement illustrate the
approximate value of the bond in hundreds
of dollars over time in years?

1

A computer application generates a sequence of
musical notes using the function f(n) = 6(16) n ,
where n is the number of the note in the sequence and
f(n) is the note frequency in hertz. Which function will
generate the same note sequence as f(n) ?

1

The range of the function defined as y = 5 x is

1

Materials A and B decay over time. The function for the amount of material A is
A(t) = 1000(0.5) 2t and for the amount of material B is
B(t) = 1000(0.25) t , where t represents time in days.
On which day will the amounts of material be equal?

1

The value in dollars, v(x) of a certain car after
x years is represented by the equation
v(x) = 25,000(0.86) x . To the nearest dollar,
how much more is the car worth after 2 years than after 3 years?

1

Lucas and Connor are growing bacteria in a laboratory.
Lucas uses the growth function f(t) = n 2t while Connor
uses the function g(t) = n 4t , where n represents the
initial number of bacteria and t is the time, in hours.
If Lucas starts with 16 bacteria, how many bacteria should
Connor start with to achieve the same growth over time?

1

Ally was given $3,000 when she turned 2 years old.
Her parents invested it at 2% interest compounded annually.
No deposits or withdrawals were made. Which expression can
be used to determine how much money Ally had in the account
when she turned 18?

1

Some banks charge a fee on savings accounts that are
left inactive for an extended period of time. The equation
y = 5,000(0.98) x represents the value, y, of one account
that was left inactive for a period of x years.

What is the y-intercept of this equation and what does it represent?

1

A laboratory technician studied the population growth
of a colony of bacteria. He recorded the number of bacteria
every other day as shown in the partial table below.

Which function would accurately model the technician's data?

1

For a recently released movie, the function
y = 119.67(0.61) x
models the revenue earned,
y, in millions of dollars each week,
x, for several weeks after its release.

Based on the equation, how much more money
in millions of dollars, was earned in revenue
for week 3 than for week 5?

1

The equation A = 1300(1.02) 7
is being used to calculate the amount
of money in a savings account.
What does 1.02 represent in this equation?

1

Roderick bought a new laptop for $1250. He kept track of the value of the laptop over the next three years, as shown in the table.

Which function can be used to determine the value of the laptop for x years after the purchase?

1

The population of a city can be modeled by
P(t) = 3810(1.0005) 7t , where P(t) is the population
after t years. Which function is approximately equivalent to P(t) ?

1

A high school sponsored a badminton tournament.
After each round, one-half of the players were eliminated.
If there were 64 players at the start of the tournament,
which equation models the number of players left after 3 rounds?