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4.14 Graphs in Engineering Systems

Total questions: 20

Worksheet time: 18mins

Name
Class
Date
1.

What are graphs used for in engineering systems?

a)

To represent historical events

b)

To represent changes

c)

To illustrate theoretical concepts without data

d)

To provide entertainment

2.

What does the trend shown by a graph indicate?

a)

The complexity of the engineering system

b)

The cost of materials used

c)

What is happening in the system or process

d)

The color preferences for engineering designs

3.

Identify the type of graph that shows a constant rate of change.

a)

Linear

b)

Trigonometric

c)

Exponential

d)

Logarithmic

4.

Which graph is likely to represent periodic changes, such as cycles or waves?

a)

Linear

b)

Trigonometric

c)

Exponential

d)

Parabolic

5.

What type of graph typically shows growth that increases at a progressively higher rate?

a)

Linear

b)

Trigonometric

c)

Exponential

d)

Hyperbolic

6.

What is the general equation for a straight-line graph?

a)

y = mx + b

b)

y = mx^2 + b

c)

y = m/x + b

d)

y = mx - b

7.

What does the gradient of a line measure?

a)

The length of the line

b)

The steepness of the line

c)

The midpoint of the line

d)

The area under the line

8.

How is the gradient represented in the equation of a straight-line graph?

a)

As the variable 'b'

b)

As the variable 'x'

c)

As the variable 'm'

d)

As the variable 'y'

9.

What is the general equation for a straight-line graph?

a)

y = mx + b

b)

y = mx^2 + b

c)

y = m/x + b

d)

y = mx - b

10.

What does the y-intercept of a line represent?

a)

The value at which the line crosses the x-axis

b)

The slope of the line

c)

The value at which the line crosses the y-axis

d)

The maximum value of y

11.

What is represented by 'b' in the straight-line equation y = mx + b?

a)

The slope of the line

b)

The x-intercept of the line

c)

The y-intercept of the line

d)

The maximum value of y

12.

What is the general equation for a straight-line graph?

a)

y = mx + b

b)

y = mx^2 + b

c)

y = m/x + b

d)

y = mx - b

13.

What is the gradient of the line shown in the graph?

4 lines
14.

What is the y-intercept of the line shown in the graph?

4 lines
15.

Based on the graph, what is the equation of the line?

4 lines
16.

What does the graph represent in the context of the learning material?

a)

The temperature change of copper with the amount of zinc it contains.

b)

The resistance of a piece of copper against the amount of aluminum it contains.

c)

The electrical conductivity of aluminum as its weight increases.

d)

The tensile strength of copper-aluminum alloys with varying aluminum content.

17.

What is the equation of the straight line shown in the graph?

a)

Resistance = 80 x % copper + 8

b)

Resistance = 80 x % aluminum + 8

c)

Resistance = 8 x % aluminum + 80

d)

Resistance = % aluminum x 80 - 8

18.

In the 10-second period shown, how many times does the height exceed 2.5 m?

a)

0 times

b)

1 time

c)

2 times

d)

3 times

19.

What is the starting temperature of the metal?

a)

0°C

b)

2°C

c)

3°C

d)

4°C

20.

Determine the time taken (to the nearest minute) for the metal to cool to 1°C.

a)

Approximately 2 hours

b)

Approximately 3 hours

c)

Approximately 4 hours

d)

Approximately 5 hours