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2.04 Modelling linear relationships

Interactive practice questions

Emma is gathering data on the growth of her plant. The table below shows the data she has collected so far.

Day ($d$d) $2$2 $4$4 $6$6 $8$8
Height of plant ($h$h cm) $6$6 $10$10 $14$14 $18$18
a

Plot the given data in the table on the number plane.

Loading Graph...
b

Is this relationship linear?

Yes

A

No

B
c

Draw the line that connects the points.

Loading Graph...
d

According to the graph, how tall was the plant when she started tracking the growth (day $0$0)?

e

According to the graph, how tall will the plant be on day $12$12?

f

According to the graph, on which day will the plant be $18$18cm tall?

g

What is the rule that connects the height, $h$h, to the day, $d$d, of tracking?

Easy
4min

A dam used to supply water to the neighboring town had the following data recorded for its volume over a number of months.

Easy
< 1min

When a plane is coming in to land, the pilot requires the plane to lose altitude at a rate of $5$5 metres per second. At the beginning of a particular descent the plane starts at an altitude of $8500$8500 metres.

Easy
5min

Chirping crickets can be an excellent indication on how hot or cool it is outside. Different species of crickets have different chirping rates but for a particular species the following data was recorded.

Easy
3min
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Outcomes

MS11-1

uses algebraic and graphical techniques to compare alternative solutions to contextual problems

MS11-2

represents information in symbolic, graphical and tabular form

MS11-6

makes predictions about everyday situations based on simple mathematical models

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