Year 7–8 maths mission

Plan Comparison Lab

A cheaper starting price can become the expensive choice later. Find where that changes.

1 / 4
Preview mode. You can complete the whole mission, but this run is not recorded.
  1. 1
    BriefUnderstand the job
  2. 2
    BuildBuild a model
  3. 3
    DecideMake a decision
  4. 4
    DebriefConnect it to a test
Client brief

Choose a bike courier for the school fundraiser.

QuickWheel$2 × x + $4$4 start + $2 per kilometre
LowRate$1 × x + $10$10 start + $1 per kilometre
Student-built cost graphkilometrescost
Planx=0x=4x=8
QuickWheel
LowRate
Model check

Read the parts of y = mx + b

b
Starting feewhere the line begins
m
Ratehow much cost rises each step
×
Intersectionboth plans cost the same
Formula shelfy = mx + b; m = rate per unit; b = starting fee; intersection means equal cost