What the numbers in a rule mean, step by step

y = −20x + 300 gives the litres in a tank after x minutes.

The question

y = 12x + 60 gives cost in dollars of x tickets. What is the booking fee?

What does the rule start at?

x=0
y = 12 × 0 + 60=60
60
  1. The start of the story is x = 0 — before any tickets have passed.
  2. Put 0 in for x: 12 × 0 is 0, so the whole first term disappears and only 60 is left.
  3. So the number added on the end is always where the story begins. Here that is 60.

How it works.

  1. 01

    The start of the story is x = 0 — before any tickets have passed.

  2. 02

    Put 0 in for x: 12 × 0 is 0, so the whole first term disappears and only 60 is left.

  3. 03

    So the number added on the end is always where the story begins. Here that is 60.