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Exponential Growth and Decay Practice

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?
a)
$176,783.29
b)
$424,527.63
c)
$57,357.75
d)
$532,041,076.80
2.
A stamp gets more expensive each year.  It increases in value by 60 % each year.  What is the growth FACTOR?
a)
.6
b)
1.06
c)
1.6
d)
.4
3.
The half-life of strontium-90 is 25 years. How much strontium-90 will remain after 100 years if the initial amount is 4.0 g?
a)
3.0g
b)
0.25mg
c)
0.3g
d)
0.25g
4.
Barium-122 has a half-life of 2 minutes. A fresh sample weighing 80 g was obtained. If it takes 10 minutes to set up an experiment using barium-122, how much barium-122 will be left when the experiment begins?
a)
0.25g
b)
2.5g
c)
25g
d)
80g
5.

Nathan bought a VERY fancy boat for about $125,000. If the boat's value depreciates at the rate of 15% per year, what is the value of the boat at the end of 10 years?

a)

$12,512.50

b)

$18,750

c)

$24,609.30

d)

$505,694.72

6.

You buy a house for $190,000. It DEPRECIATES 6% per year. How much is it worth in 10 years?

a)

$102, 336.87

b)

$53.76

c)

$4241.01

d)

$346.46

7.

What is the formula for finding half-life?

a)

A=A0(0.5)(th)A=A_0\left(0.5\right)^{\left(\frac{t}{h}\right)}

b)

y=a(1+r)ty=a\left(1+r\right)^t

c)

y=a(1−r)ty=a\left(1-r\right)^t

8.

If a radioactive substance decays continuously at a rate of 3% per year, how much will be left after 10 years if there was initially 200 grams?

a)

145.96 grams

b)

160.00 grams

c)

210.00 grams

d)

180.00 grams

9.

The equation y = a(1 - r)x is used for:

a)

1/2 life

b)

Interest

c)

Exponential Growth

d)

Exponential Decay

10.

The equation y = a(1 + r)x is used for:

a)

Exponential Growth

b)

Exponential Decay

c)

Half Life

d)

Interest