Linear Models
{{ s.desc1 }}
{{ s.b }} {{ s.unitY }}.
{{ s.desc2 }}
{{ s.m }} {{ s.unitY }}
per {{ s.unitX }}.
Step 1: The Initial Value
Set the starting amount ().
Target: {{ s.b }}
{{ Math.floor(step1.val) }}
Step 2: The Rate of Change
Add the rate () for each passing {{ s.unitX }}.
Initial
{{ s.b }}
+ {{ s.m }}
{{ s.unitX }}s Passed ()
{{ step2.taps }}
Tap {{ 4 - step2.taps }} more times
Step 3: Build the Model
Construct the equation:
y =
{{ step3.slots.m.value }}
Rate (m)
x
+
{{ step3.slots.b.value }}
Initial (b)
Drag to build
{{ item.value }}
Step 4: Make a Prediction
Use your model to predict the total at {{ s.targetX }} {{ s.unitX }}s.
Your Model
Calculation
y = {{ s.m }}({{ step4.x }}) + {{ s.b }}
y = {{ s.m * step4.x }} + {{ s.b }}
y = {{ (s.m * step4.x) + s.b }}
0 {{ s.unitX }}s
Target: {{ s.targetX }}
{{ Math.floor(s.targetX * 1.5) }} {{ s.unitX }}s
Slide to predict
Prediction found!
Masterful Modeling!
You correctly identified the initial value () and rate of change (), built the linear equation, and used it to predict the future!
Final Model