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Solved Examples
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eee Name the type of model that best fits the data collection: (- 1, - 1), (0, 1), (1, 3), (2, 5), (3, 7), (4, 9), (5, 11)
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eee Name the type of model suggested by the graph.
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eee Name the type of model suggested by the graph.
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eee Name the type of model that best fits the data collection: (1, 2.2), (2, 2.42), (3, 2.66), (4, 2.93), (0, 2), (5, 3.22) eee View Solution
eee Name the type of model that best fits the data collection.
X-2-10123
Y-12-50343

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eee Name the type of model suggested by the graph. eee View Solution
eee Which of the following models represents the equation y = mx + b?
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eee The equation y = c (1 ± r)t represents, which of the following model?
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eee Which of the following models represents the equation y = ax2 + bx + c?
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eee Name the type of model that best fits the data collection: (- 3, 16), (- 2, 8), (- 1, 4), (0, 2), (1, 1), (2, 12), (3, 14) eee View Solution
eee Name the type of model that best fits the data collection.
x-2-101234
y71-1171731

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eee Which of the following equation is an example of a linear model?
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eee Which of the following equation is an example of a Quadratic model?
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eee Which of the following equation is an example of an exponential model? eee View Solution
eee Name the model that the graph of y = 12x2 + 4 represents.
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eee Name the model that the graph of y = 1.3(0.82)x represents.
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eee Name the model that the graph of y = - 3x + 6 represents. eee View Solution
eee The heights of a bouncing ball dropped from an initial height of 12 ft is showin in the table. Choose the type of model and its equation which corresponds most closely to the data?
Bounce(x)012346810
Height(H)feet1210.89.78.77.86.45.24.2
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eee In a simple pendulum experiment, the data pertaining to period t in seconds of the pendulum and the length d in inches of the string are shown in the table. Choose the model and its equation which best fits the situation.
Period (sec) : tLength(in) :d
0.41.81
0.87.24
1.216.3
1.628.9
2.065.2
2.445.3
2.888.7
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eee Victor observed that as the speed of the bus increases, it moves more distance before it stops after breaks are applied. The table shows the data for different speed x of the bus and the distance it moves before stopping. Choose the model and its equation which best fits the situation. eee View Solution
eee The table shows the data of a moving object with velocity (v) and kinetic energy (E). Choose the model and its equation whcih best fits the data?
Velocity(v)048121620
Kinetic Energy(E)09638486415362400
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f   Tony has $500 in his bank account. The table shows the amount B available in the account after t years. Choose the model and its equation which best fits the situation.
Time(t)012345
Balance($) (B)500530560590620650
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f   The table shows the area (A) of a circle for different radii r. Choose the model and its equation which best fits the situation.
Radius(r)123456
Area(A)p4p9p16p25p36p

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f   Harry bought a car for $10400 in 1998. Its value decreases by 13.8% per year.
Express the value of the car, y, after a period of t years.
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f   The average annual percent of increase in the population P of a state is observed as about 3.5%. The population was 2,818,185 in 1990. Choose the most appropriate model and its equation. Let t be the number of years since 1990?
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