Modelling Linear Relationships - graphs
Interactive practice questions
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$65.60 |
Write an equation linking the number of litres of petrol pumped ($x$x) and the cost of the petrol ($y$y).
How much does petrol cost per litre?
How much would $47$47 litres of petrol cost at this unit price?
In the equation, $y=1.64x$y=1.64x, what does $1.64$1.64 represent?
The unit rate of cost of petrol per litre.
The number of litres of petrol pumped.
The total cost of petrol pumped.
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=120−32T.
Outcomes
NA6-5
Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns
91027
Apply algebraic procedures in solving problems