Linear Quadratic and Exponential Models Worksheet

Linear Quadratic and Exponential Models Worksheet
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 1.  
Which of the following models represents the equation y = mx + b?
a.
Quadratic Model
b.
Exponential Model
c.
Cubic model
d.
Linear Model


Solution:

The equation y = mx + b represents a linear model.


Correct answer : (4)
 2.  
The equation y = c (1 ± r)t represents, which of the following model?
a.
Quadratic Model
b.
Exponential Model
c.
Cubic Model
d.
Linear Model


Solution:

The equation y = c (1 ± r)t represents an Exponential Model.


Correct answer : (2)
 3.  
Which of the following models represents the equation y = ax2 + bx + c?
a.
Cubic model
b.
Linear model
c.
Exponential model
d.
Quadratic model


Solution:

The equation y = ax2 + bx + c represents a quadratic model.


Correct answer : (4)
 4.  
Name the type of model suggested by the graph.

a.
Linear model
b.
Exponential model
c.
Cubic model
d.
Quadratic model


Solution:

You can see that the graph is a parabola.

So, the type of model represents the graph is a Quadratic model.


Correct answer : (4)
 5.  
Name the type of model suggested by the graph.


a.
Exponential model
b.
Cubic model
c.
Linear model
d.
Quadratic model


Solution:

You can see that the graph is a straight line.

So, the type of model represents the graph is a Linear model.


Correct answer : (3)
 6.  
Name the type of model suggested by the graph.


a.
Linear model
b.
Cubic model
c.
Quadratic model
d.
Exponential model


Solution:

You can see that the graph is an Exponential curve.

So, the type of model represents the graph is an Exponential model.


Correct answer : (4)
 7.  
Which of the following equation is an example of a linear model?
a.
y = 5x - 2
b.
y = 3x2 + 2x - 1
c.
y = 5x2 - 2
d.
y = 2 (1.02)x


Solution:

The equation y = 5x - 2 is of the form y = mx + b

So, it represents an example of a linear model.


Correct answer : (1)
 8.  
Which of the following equation is an example of a Quadratic model?
a.
y = 3x + 2
b.
y = 2x2 - x
c.
y = x
d.
y = 2x


Solution:

The equation y = 2x2 - x is of the form y = ax2 + bx + c.

So, it represents an example of a Quadratic model.


Correct answer : (2)
 9.  
Which of the following equation is an example of an exponential model?
a.
y = - x2 + 5x
b.
y = x2 + 1
c.
y = 2 (1.05)x
d.
y = 2 (x - 1)


Solution:

The equation y = 2 (1.05)x is of the form y = c (1 + r)x.

So, it represents an example of an Exponential model.


Correct answer : (3)
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