Free Printable HA2 5B Practice

1.

The population of a certain town is modeled by the equation

A\left(3\right)=2,210\left(1+0.02\right)^3

What was the initial population of the town?

a)

3

b)

2210

c)

0.02

d)

A(3)

2.

The population of a certain town is modeled by the equation

A\left(3\right)=2,210\left(1+0.02\right)^3

Is this town's population growing or shrinking?

a)

Growing

b)

Shrinking

3.

The population of a certain town is modeled by the equation

A\left(3\right)=2,210\left(1+0.02\right)^3

At what rate is this town increasing?

a)

0.2

b)

0.0002

c)

0.02%

d)

20%

e)

2%

4.

The population of a certain town is modeled by the equation

A\left(3\right)=2,210\left(1+0.02\right)^3

Calculate A(3), the number of people in the town after 3 years. Round to the nearest (whole) person.

*type ONLY the number without a label*

(a)

5.

Which of the following formulas should you use for compounded interest (more than once per year)?

a)

$A\left(t\right)=P\left(1+r\right)^t$

b)

$A\left(t\right)=P\left(1+\frac{r}{n}\right)^{nt}$

c)

$A\left(t\right)=Pe^{rt}$

d)

$A\left(t\right)=Pe^{-kt}$

6.

Which of the following formulas should you use for continuously compounded interest?

a)

$A\left(t\right)=P\left(1+r\right)^t$

b)

$A\left(t\right)=P\left(1+\frac{r}{n}\right)^{nt}$

c)

$A\left(t\right)=Pe^{rt}$

d)

$A\left(t\right)=Pe^{-kt}$

7.

You start a culture of 4,500 bacteria. They die at a rate of 12% every hour. You are curious how long it will take for there to be 300 bacteria left. Which of the following equations models this scenario?

a)

$4,500=300\left(0.88\right)^t$

b)

$300=4,500\left(0.12\right)^t$

c)

$300=4,500\left(0.88\right)^t$

d)

$300=4,500\left(1.12\right)^t$

8.

You start a culture of 4,500 bacteria. They die at a rate of 12% every hour. How long it will take for there to be 300 bacteria left? Round to the nearest hour.

(a)

9.

The decay constant (k) of Cobolt-60 is 0.1315. Find the half life of Cobolt-60 using the formula

$A\left(t\right)=Pe^{-kt}$

with t in years. Round to the nearest hundredth of a year.

(a)

HA2 5B Practice

Total questions: 9

Worksheet time: 18mins

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