Linear Equations I

Hong Kong

Stage 4 - Stage 5

Petrol costs a certain amount per litre. The table shows the cost of various amounts of petrol.

Number of litres ($x$x) |
$0$0 | $10$10 | $20$20 | $30$30 | $40$40 |
---|---|---|---|---|---|

Cost of petrol ($y$y) |
$0$0 | $16.40$16.40 | $32.80$32.80 | $49.20$49.20 | $65.60$65.60 |

a

Write an equation linking the number of litres of petrol pumped ($x$`x`) and the cost of the petrol ($y$`y`).

b

How much does petrol cost per litre?

c

How much would $47$47 litres of petrol cost at this unit price?

d

In the equation, $y=1.64x$`y`=1.64`x`, what does $1.64$1.64 represent?

The unit rate of cost of petrol per litre.

A

The number of litres of petrol pumped.

B

The total cost of petrol pumped.

C

Easy

Approx 4 minutes

A diver starts at the surface of the water and begins to descend below the surface at a constant rate. The table shows the depth of the diver over $5$5 minutes.

There are $20$20 litres of water in a rainwater tank. It rains for a period of 24 hours and during this time, the tank fills up at a rate of $8$8 Litres per hour.

A baseball is thrown vertically upward by a baseball player when he is standing on the ground, and the velocity of the baseball $V$`V` (in feet per second) after $T$`T` seconds is given by $V=120-32T$`V`=120−32`T`.

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