topic badge
AustraliaVIC
VCE 11 General 2023

3.05 Linear models

Interactive practice questions

The points show the relationship between water temperatures and surface air temperatures.

Loading Graph...

a

Complete the table of values:

Water Temperature (°C) $-3$3 $-2$2 $-1$1 $0$0 $1$1 $2$2 $3$3
Surface Air Temperature (°C) $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

Continue the pattern in the table to determine the surface air temperature when the water temperature is $4$4 °C.

c

What would be the surface air temperature when the water temperature is $14$14 °C?

Easy
3min

The number of calories burned by the average person while dancing is modelled by the equation $C=8m$C=8m, where $m$m is the number of minutes.

Plot the graph of this equation to show the calories burnt after each $15$15-minute interval.

Easy
1min

The amount of medication $M$M (in milligrams) in a patient’s body gradually decreases over time $t$t (in hours) according to the equation $M=1050-15t$M=105015t.

Easy
2min

A racing car starts the race with $150$150 litres of fuel. From there, it uses fuel at a rate of $5$5 litres per minute.

Easy
3min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

U1.AoS4.2

the concept of a linear model and its properties, and simultaneous linear equations and their solutions

U1.AoS4.5

develop a linear model to represent and analyse a practical situation and specify its domain of application

U1.AoS4.6

interpret the slope and the intercept of a straight-line graph in terms of its context and use the equation to make predictions

U1.AoS4.7

construct graphs and/or tables of values for given linear models and formula and vice versa

What is Mathspace

About Mathspace