2. IDENTIFY AND USE INFORMATION FROM DIFFERENT REPRESENTATIONS OF RELATIONSHIPS TO SOLVE PROBLEMS IN THE WORKPLACE

• At the end of this outcome, you will be able to:• Identify and select information from

different representations of relationships to solve problems

• Use and develop formulae with confidence

Activity 10

• Solve the following equations by logic:

1.14t =28 What is the value of t

2.x / 1000 = 56 What is the value of x

3.V = (28)(160)(17) What does V stand for and what is its value?

4.6500 = (8)(25)(h) What does the “h” stand for and what is its value?

2

56 000

Volume 76 160 units3

Height 32.5 units

Activity 11

1. Select the correct formula from the given table and then calculate the unknown value by using the given substitution values.

a. SI if P=R20 000; t = 10 years and r =15%

b. S if d = 42.2km at t=2hrs25min

c. Volume of a tank if r of the base = 2.5m and the height of cylinder =9.25m

SI = R30 000

S = 17, 46 km.h-1

181.62m3

Activity 11

d. Circumference if a circle in centimetres if r=22 inches (1 inch = 2.54cm)

351.10cm

Activity 11

e. V if L=100cm; b=7cm and h=250mm

17500 cm3

Activity 11

f. P if L=75m and b=2500cm

200cm

Activity 11

g. Degrees C if F=185F

85º

Activity 11

2. Select the correct formula from the given table to calculate the following by substituting the given values:

a. Calculate the average speed of an aircraft that takes 3 1/8 hours to fly 2038.24km

652.24km.h-1

Activity 11

b. Calculate the volume if a cylinder with radius 1 7/8m and the height 6.4m

70.69m2

Activity 11

c. Convert 83 degrees Celsius to degree Fahrenheit

181.4 F

Activity 11

d. What is the total external surface area of a cylinder, which has a radius of 125cm and a height of 1350mm? Give the answer in square metres.

204 203. 52 cm2 = 20.42m2

Activity 11

e. How many cubic metres of water is there in a swimming pool which is 25 metres long, 7 metres wide and 2,25 metres deep?

393.75m3 = 393.75 tons of water

Activity 11

f. If you borrow R1800 from a friend and he charges you simple interest at a rate of 7% per year, calculate the amount you have to repay the friend after 62 months.

R651

Activity 11

g. What is the length of fencing that a farmer has to buy to fence his farm, which is 2,8km long and 1850m wide?

9,30 km of fence