MUF0141- STUDY AREA 1&2

The gradient of the line shown is 

• 4/3

• 3/4

• -3/4

• -4/3

The shaded region on the graph illustrates the feasible region defined by numerous constraints. 

Which one of the following equations represents a boundary line of the feasible region?

• 4y+3x=12

• y=4

• y=5x

• x=4

The sum of the first three terms of an arithmetic sequence is 27.  The second term is 

• 4.5

• 13.5

• 6

• 9

For a particular geometric sequence, the common ratio is positive and less than The graph that most closely matches this sequence is 

• 
• 
• 
• 

The gradient of the line which passes through the points (-2, 3) and (5, -7) is

• 10/7

• -7/10

• -10/7

• 10/3

The equation of a line passing through (5, 9) and which is parallel to the line

y=3x -2, is

• y=3x-22

• y=3x-6

• y=7x-26

• y=3x+9

A possible equation for the graph shown (x > 0) is:

The shaded region is described by:

• x ≤ 5, y ≤ 5, y ≥ 0

• x + y ≥ 5, x ≥ y, y ≥ 0

• x + y ≥ 5, x ≤ y, y ≥ 0

• x + y ≤ 5, x ≥ y, y ≥ 0

If successive terms in a geometric sequence decrease by 7%, then the common ratio, r = 

• 0.07

• 0.70

• 0.93

• 1.70

The cost ($C) of hiring a taxi is given by the formula

C = 2.5x + 65

where

x

is the number of kilometers travelled. A person is charged $865 for the hire of the taxi. The number of kilometers travelled was:  

• 320

• 300

• 245

• 420