# Linear Quadratic and Exponential Models Worksheet

Linear Quadratic and Exponential Models Worksheet
• Page 1
1.
Which of the following models represents the equation $y$ = $\mathrm{mx}$ + $b$?
 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 $y$ = $\mathrm{ax}$2 + $\mathrm{bx}$ + $c$?
 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. $y$ = 5$x$ - 2 b. $y$ = 3$x$2 + 2$x$ - 1 c. $y$ = 5$x$2 - 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. $y$ = 3$x$ + 2 b. $y$ = 2$x$2 - $x$ c. $y$ = $x$ d. $y$ = 2$x$

#### 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. $y$ = - $x$2 + 5$x$ b. $y$ = $x$2 + 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)
*AP and SAT are registered trademarks of the College Board.