Analytic Geometry

Gas costs a certain amount per litre. The table shows the cost of various amounts of gas.

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

Cost of gas ($y$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 gas pumped ($x$`x`) and the cost of the gas ($y$`y`).

b

How much does gas cost per litre?

c

How much would $47$47 litres of gas 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 gas per litre.

A

The number of litres of gas pumped.

B

The total cost of gas pumped.

C

The unit rate of cost of gas per litre.

A

The number of litres of gas pumped.

B

The total cost of gas pumped.

C

Easy

Approx 4 minutes

Sign up to try all questions

Describe the meaning of the slope and y-intercept for a linear relation arising from a realistic situation and describe a situation that could be modelled by a given linear equation

Determine values of a linear relation by using a table of values, by using the equation of the relation, and by interpolating or extrapolating from the graph of the relation

Determine other representations of a linear relation, given one representation