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# Graphs &amp; Real life

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by

## Mr Mattock

on 18 March 2018

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#### Transcript of Graphs &amp; Real life

Graphs & Real life
Starter
The formula for converting degrees centigrade to Farenheit is

F = 1.8C + 32

(a) Explain why the graph of F against C would be a straight line.

(b) What label would be against the vertical axis?

(c) What label would be against the horizontal axis?

Activity
Match the real life situations to the graphs, and then to the equations.
Graphs and Real life
A mobile phone tariff charges 5p per minute. The line rental for the phone is £10.

Write a formula for the cost, in pence, of the phone in terms of the minutes used.

Draw the graph that shows the cost of the mobile phone.
Starter
The formula for converting degrees centigrade to Farenheit is

F = 1.8C + 32

(a) Explain why the graph of F against C would be a straight line.

It is of the form y = mx + c.

(b) What label would be against the vertical axis?

Farenheit or F
(c) What label would be against the horizontal axis?

Apply understanding of graphs to real life situations
Graphs and Real life
The formula for converting degrees centigrade to Farenheit is

F = 1.8C + 32

What would the gradient of of the graph of F against C be?

Where would this graph cross the vertical axis?

Graphs and Real life
The formula for converting degrees centigrade to Farenheit is

F = 1.8C + 32

What would the gradient of of the graph of F against C be?
1.8

Where would this graph cross the vertical axis?
32
Graphs and Real life
The formula for converting degrees centigrade to Farenheit is

F = 1.8C + 32

Draw the graph of F
against C.
Graphs and Real life
The formula for converting degrees centigrade to Farenheit is

F = 1.8C + 32

Draw the graph of F
against C.
Graphs and Real life
A mobile phone tariff charges 5p per minute. The line rental for the phone is £10.

C = 5m + 1000
Plenary
Write a formula for
the cost of a ride in the blue taxi.

Write a formula for the cost of a ride in the yellow taxi.

Compare the costs of riding in the two taxis.
Plenary
Write a formula for
the cost of a ride in the blue taxi.
C = 0.9m + 5

Write a formula for the cost of a ride in the yellow taxi.
C = 10 m + 2

7
Compare the costs of riding in the two taxis.
The blue taxi is cheaper for less than 3 miles, but more expensive for over 3 miles.
Activities
Key
Examples

Activity