Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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The height of the corn stalk in
inches over the first 8 weeks of growth could be roughly modeled by the function
h(t)
= 2(1.6 t)
where t is measured in weeks.
On which
week of growth would the corn stalk grow to 21 inches? |  | | |
a. | week 1 | b. | week 3 | c. | week
4 | d. | week 5 |
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2.
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At Generic Middle School, 8 students
were sick with the flu on the first day of school. By the end of the first week 12 students
were sick and by the end of the 2nd week there were 18 students sick. The attendance
clerk noticed that the number of students getting sick was growing exponentially with a growth factor
of ‘1.5’.
A function model that desribes the number that have gotten sick
would S(x) = 8 (1.5 x), where x is the number of
weeks completed at school. | | | |
Using the model, how many students could be expected to have been
sick by the end of the 6 th week? a. | approximately 41 students | c. | approximately 91
students | b. | approximately 205 students | d. | approximately 72 students |
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3.
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A poplulation of chipmunks doubles
every year. Initially, there were 5 chipmunks. A researcher studying the chipmunks
created a function to model their population growth: P(t) = 5(2 t),
where t is the time in years. The graph of the function is shown.
Which of the below would be the best
description of the range of the function? |  | | |
a. | any real number | b. | any integer | c. | any whole number
greater than or equal to 0 | d. | any whole number greater than or equal to
5 |
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4.
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A person was monitoring how fast the
pressure of a tire dropped after it was punctured by a nail. They noticed that the air pressure
could be modeled by
P(t) = 35(0.97 t),where the time, t,
was measured in minutes after the nail puncture and P(t) represented the pressure in
PSI.
Which of the below would be the best description of the domain of the function? |  | | |
a. |  | b. |  | c. | any integer greater than 0 | d. | any real
number |
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5.
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| A person purchased an ounce of gold
for $360 in January of 2000. The value of the gold increased by 15% over the next 10 years.
What is the growth factor? |  | | |
a. | 0. 64 | b. | 1.36 | c. | 0.85 | d. | 1.15 |
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6.
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Each of the functions below model the monetary value of an item. Which is
the only that has a growth factor showing the item is increasing in value?
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7.
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| A local farmer started a
chicken coop with initially 4 chickens (1 of which was a rooster). The next month there were a
total of 7 chickens counting the chicks. If the same exponential growth rate
continues each month, which of the below functions would best model this population growth?
(Let x be the number of months since the farmer started the raising chickens) | | | |
a. | p(t) = 4 + 7x | b. | p(t) = 4 + 3x | c. | p(t) =
4(1.25 x) | d. | p(t) = 4(1.75
x) |
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8.
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After purchasing a home for
$160,000, the homeowner noticed the suggested value of her house was depreciating (going down) each
year by 5% for at least the 6 years she lived there.
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If this trend
continues how much will the house be worth in 8 years to the nearest dollar? a. | $130,321 | c. | $111,734 | b. | $106,147 | d. | $95,798 |
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