Using Formulae By the end of the lesson, you should have a good understanding of: The usefulness of formulae How to produce a formula How to rearrange.

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Presentation transcript:

Using Formulae By the end of the lesson, you should have a good understanding of: The usefulness of formulae How to produce a formula How to rearrange formulae to suit a situation

(where c is the cost in £ and d is the distance in miles) Taxi Fare A taxi-driver charges a fixed rate of £2 per journey plus 50p per mile. How much does it cost to travel 10 miles? £2 + £0.50 x 10 = £7 Can you produce a formula for the cost of travel? c = 2 + 0.5d (where c is the cost in £ and d is the distance in miles)

(where c is the cost in £ and d is the distance in miles) Taxi Fare A taxi-driver charges a fixed rate of £2 per journey plus 50p per mile. How far can you travel for £10? (£10 - £2) / £0.50 = 16 miles Can you produce a formula for the cost of travel? d = (c - 2) / 0.5 or: d = 2(c – 2) (where c is the cost in £ and d is the distance in miles)

Taxi Fare A taxi-driver charges a fixed rate of £2 per journey plus 50p per mile. c = 2 + 0.5d . c – 2 = 0.5d 2(c – 2)= d . # Changing the subject

1) 2) 3) 4) a=, b=, c= m1=, m2=, r= v=, u=, a=, s= u=, a=, t=

ms-2 ms-1 ms-1 m m2s-2 m2s-2 ms-2m In a formula, the dimension of the sides is always the same

1 m s ms-2 _m_ ms-2 s

m s ms-2 ms-1 s