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# Gradients and Real Life Graphs

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## Mr Mattock

on 18 March 2018

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#### Transcript of Gradients and Real Life Graphs

Activity
L.O. - Apply gradients to real-life graphs and interpret the result.
Graphs and Real life
The graph shows the cost in pence of mobile phone calls against the number of minutes called. Work out the gradient of the graph.
What are the units of this value? What does this mean for the value?
Graphs and Real life
The graph shows the cost in pence of mobile phone calls against the number of minutes called. Work out the gradient of the graph.
What are the units of this value? What does this mean for the value?
Units - Pence/Minute
This is the cost for a single minute of phone calling.
Interpreting Travel Graphs
Work out the gradient of the first section. What are the units of your answer. What does this mean for the value?
Work out the gradient of the final section.
Interpreting Travel Graphs
Work out the gradient of the first section. What are the units of your answer. What does this mean for the value?
Work out the gradient of the final section.

120
40
km/h

- this is the speed.
The graph shows the distance travelled by an object over a 30 second period. Estimate the speed of the object after 10 seconds.
The graph shows the distance travelled by an object over a 30 second period. Estimate the speed of the object after 10 seconds.

23.5 - 15 8.5
15 - 5 10
= = 0.85 m/s
Key
Examples

Activities
Activity
1) 30 mph, 15 mph
2) 1.2 pounds per cubic metre- it means a single cubic metre costs £1.20
3) £3 per mile, £10 per mile. Barry's bricks is 3.3333... times as expensive.
4) 0.1 km/minute, 2/15 km/minute. 6 km/h. 8 km/h. 0.25 km/minute -
15 km/h. Over twice as quick on Tuesday as her Monday average.
5) Train A - 2 miles/minute. Train B - 1.3333 miles/minute.
Train A - 120 mph, Train B - 80 mph - an extra 40 miles.
6) 4 km/20 minutes or 12 km/hour.
7) 7.5 metres per second. Approximately 3 metres per second. Tangent as close to D as possible.
Activity