ACTIVITIES 1. Siyabonga runs a car wash business. The monthly expenses for his business include
Rl 400,00 in salaries
R5,20 per washed car, for water, soap and electricity
Siyabonga charges R25,00 per car for a wash and vacuum
1.1. White down a formula to represent the total monthly cost that Siyabonga incurs in running his car
wash business as dependent on the number of cars washed
1 2. Write down a fornula to represent the total monthly income that Siyabonga generates dependent
on the number of cars washed
(2)
1.3. Use trial and improvement to determine how many curs Siyabonga must wash per month in order to
break even and cover all business expenses (2)
1.4. How much must Siyabonga earn in income per month in order to break even? (2)
1.5. The graphs below resent the total monthly cost and total income for Siyabonga's car wash business
2 500
2.300
2200
2100
2.000
1900
1 800
8 1.700
1600
1,500
1400
1.300
Cost/income (rande)
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
No. of Cars
1.5.1. Which grapb represents the car wash's total monthly cost and which graph the total monthly
income? Explain your answer
(2)
1.5.2. On the graph, identify the break-even point and at this point fill in the number of cars that
Siyabonga must was and the income that he must generate in order to break even.(2)
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2. Xolani and Ramafole are driving from Vryheid to Durban. Xolani leaves at 4:11 am in the morning
travelling at an average speed of 100 km/h Ramafole leaves 2 hours later travelling at an average
speed of 120km/h.
The graphs below show the distances travelled by Xolani and Ramafole over the course of the day.​