(2). Show that dividing a number by 5 ¹/₂ gives the same answer as multiplying the number by ²/₁₁. (2 Mark)

APPLICATION

(1). John trains by running on the school track. When he gets tired, he walks until he is able to run again. His log for one training day is shown below:

Log of practice session:

- ran 5¹/₄ laps

- walked 1³/₄ laps

- ran 4 ²/₃ laps

- walked 1¹/₃ laps

- ran 3⁴/₅laps

a) Determine how many laps around the track John ran. (2 Marks)

b) Determine how many laps he walked around the track. (2 Marks)

c) Determine how many more laps John ran than he walked. (2 Marks)

d) If one lap around the school track is 400 m, determine the total distance John travelled. (2 Marks)

(2). A van's gas tank holds 75 L. The van uses 0.125 L/km.

a) Describe the relation between the distance the van travels and the volume of gas in its tank. (2 Marks)

b) How far can the van travel on a full tank of gas? (2 Marks)

3. a) Graph the data in the table below. (2 Marks)

b) How does the graph show the rate of change? (1 Mark)

c) Estimate the air pressure at an altitude of 20 km. (2 Marks)

Altitude (km) Air Pressure (Pa)

1 80, 000

3 60, 000

6 40, 000

16 20, 000

22 10, 000

30 5, 000

COMMUNICATION

1a) Make a table of values and a graph for each relation. (3 Marks)

b) Copy and complete the table using your results from part a). (3 Marks)

c) What connections do you see between each equation and the values in the table? (3 Marks)

Equations:

2x + 5y = 10

4x - 2y = 7

x + y = -2

Use the following as the title of the table for each equation; Slope, y - intercept, x- intercept