Linear Equations

NZ Level 6 (NZC) Level 1 (NCEA)

Modelling Linear Relationships - graphs

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

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

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