﻿ Linear Quadratic and Exponential Models Worksheet | Problems & Solutions

# 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 $y$ = $\mathrm{mx}$ + $b$?
 a. Quadratic Model b. Exponential Model c. Cubic model d. Linear Model

#### Solution:

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

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.

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.

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.

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.

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.

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.

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.

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.