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Directions: Read carefully.
1. |
Given the equation: y = 50(1.15)x
a) Does this equation represent exponential growth or decay?
Choose:
b) What is the initial value?
Choose:
c) What is the rate of growth or decay?
Choose:
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d) What is the value of y (to the nearest tenth), when x = 3?
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2. |
A citrus orchard has 180 orange trees. A fungus attacks the trees. Each month after the attack, the number of living trees is decreased by one-third. If x represents the time, in months, and y represents the number of living trees, which graph best represents this situation over 5 months?
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3. |
A flu outbreak hits your school on Monday, with an initial number of 20 ill students coming to school. The number of ill students increases by 25% per hour.
a) This situation is an example of:
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Choose:
b) Which function models this Monday flu outbreak?
Choose:
c) How many students will be ill after 6 hours?
Choose:
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4. |
A total of 50,000 contestants participate in an Internet on-line survivor game. The game randomly kills off 20% of the contestants each day.
a) This situation is an example of:
Choose:
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b) Which function models this game?
Choose:
c) How many contestants are left in the game at the end of one week?
Choose:
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5. |
A new sports car sells for $35,000. The value of the car decreases by 18% annually. Which of the following choices models the yearly value of the car since its purchase?
Choose:
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6. |
At the end of last year, the population of Jason's hometown was approximately 75,000 people. The population is growing at the rate of 2.4% each year.
a) Which function models the grow of this city?
Choose:
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b) How many years will it take for the population to reach 100,000 people?
Choose:
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7. |
Iodine-131 is a radioactive isotope used in the treatment of thyroid conditions. It has a half-life of 8 days. Half-life is the amount of time it takes for half of the substance to decay (disappear). If a patient is given 20 mg of iodine-131, how much of the substance will remain in the body after 32 days?
Choose:
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8. |
Geometric sequences are created by multiplying the prior term by a constant value, called the common ratio. This common multiplication occurring at each step can be viewed as a "growth factor", similar to what we have seen in exponential growth.
3, 9, 27, 81, 243, ...
Geometric sequences demonstrate exponential growth.
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a) What is the "growth factor" and the "growth rate" of this geometric sequence?
Choose:
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