NBT Mathematical Modelling

Question 1

A car rental company charges R200 per day plus R3.50 per kilometre driven. Which equation models the total cost (C) for renting a car for one day and driving d kilometres?

Accepted Answer

C = 3.50d + 200

Answer

C = 200d + 3.50

Answer

C = 203.50d

Answer

C = 200 + d/3.50

Question 2

The population of a town is 50 000 and grows at 3% per year. Which expression models the population after t years?

Accepted Answer

50 000(1.03)^t

Answer

50 000 + 0.03t

Answer

50 000(0.03)^t

Answer

50 000(1.3)^t

Question 3

A ball is thrown upward from a height of 2 metres with an initial velocity of 20 m/s. The height h (in metres) after t seconds is modelled by h = -5t² + 20t + 2. What is the maximum height?

Accepted Answer

22 metres

Answer

20 metres

Answer

42 metres

Answer

25 metres

Question 4

A rectangular garden has a perimeter of 40 metres. If the length is x metres, which expression gives the area?

Accepted Answer

x(20 - x)

Answer

x(40 - x)

Answer

x(40 - 2x)

Answer

40x - x²

Question 5

A taxi charges R15 flag-fall plus R12 per kilometre. A bus fare is a flat R45. For what distance are the costs equal?

Accepted Answer

2.5 km

Answer

3 km

Answer

3.75 km

Answer

5 km

Question 6

The value of a car depreciates by 15% per year. If the car is worth R250 000 now, what will it be worth after 3 years?

Accepted Answer

R153 468.75

Answer

R137 500

Answer

R212 500

Answer

R180 625

A car rental company charges R200 per day plus R3.50 per kilometre driven.Which equation models the total cost (C) for renting a car for one day and driving d kilometres?

A car rental company charges R200 per day plus R3.50 per kilometre driven.
Which equation models the total cost (C) for renting a car for one day and driving d kilometres?