Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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An ant colony is growing and doubles in population every 2 months. On the
initial day of study the colony had 48 ants. The table shows the ant population of the colony
at the end of the first few months.   Which type of model would
be the best model to describe the relationship of the ant colony population over time? a. | Linear Model | b. | Quadratic Model | c. | Exponential
Model |
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2.
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A researches was testing a new vehicle’s braking distances at different
speeds. She recorded the following data for the braking distances.   Which type of model would be the best model
to describe the relationship of the car’s speed to its stopping distance? a. | Linear Model | b. | Quadratic Model | c. | Exponential
Model |
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3.
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| A taxi-cab company charges its
customers an initial fee of $4.00 and then an additional $0.60 for each mile they drive the
customer. |  | | |
Which type of model would be the best model to
describe the relationship between the number of miles driven and how much the customer is
charged? a. | Linear Model | b. | Quadratic Model | c. | Exponential
Model |
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4.
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| A person purchased a house for
$180,000 in a nice area. The value of the houses in the area increasing each year by 9%
(i.e. growing by a growth factor of 1.09) |  | | |
Which type of model would be the best model to describe the
relationship between the number of years after the house was purchased and the value of the
house? a. | Linear Model | b. | Quadratic Model | c. | Exponential
Model |
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5.
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Jessica is making silk screen
tee-shirts for her school. Her school’s football team made the playoffs. She will have to
first purchase supplies but then she will make a certain amount for each tee-shirt she sells.
She created the following linear function that describes her profit in dollars.
p(x) =
9•x – 180
What does the parameter 180
most likely represent in the function? |  | | |
a. | She will have to spend $180 on supplies. | b. | She will make a
total of 180 tee-shirts. | c. | She will earn $180 after selling all of her
tee-shirts. | d. | She needs to sell 180 tee-shirts to break even. |
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6.
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An investor purchased an ounce of
gold several years ago and realized that the value of gold has consistently increased in value over
the last several years. The investor used the following model to approximate the value of the
gold.
v(t) = 212(1.1) t
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Which correctly describes one of the parameters of this
function? a. | The investor purchased 1.1 ounces of gold. | b. | The investor’s
gold ounce increases by $212 each year. | c. | The gold doubles in value every 1.1
years. | d. | The initial value of the gold was $212. |
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7.
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A football is punted and the height
of the football in feet could be described using the following function model (where t is in
seconds after the ball was punted):
h(t) = –16(t–2) 2 +
55
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Which correctly describes
one of the parameters of this function? a. | The ball was in the air for a total of 2 seconds. | b. | The ball had a
maximum height of 55 feet. | c. | The ball was in the air a total of 16
seconds | d. | The ball landed 55 feet away from the kicker. |
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8.
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A company offers a bonus retirement plans for its executive employees. The
employees are presented with 2 options. Option #1: They will start an account
$5000 and each year earn 25% on the money in the account. (i.e. a growth factor of
1.25) Option #2: They will start an
account $5000 and each year and each year there after continue to add $5000 to the account.  Which retirement option would be worth more at the end of 20
years? a. | Option #1 | b. | Option #2 | c. | They are both equal
at 20 years. |
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