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 Post subject: GL Paper 11C question 50
PostPosted: Tue Aug 18, 2015 7:24 pm 
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Joined: Tue Oct 04, 2011 3:20 pm
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Hi all Frantic dad here

My D/S came up against this question in the above paper, hoping someone out there can offer some advice and a method to solve this:

Ben and Emma each start to grow a plant on he same day. After one week both plants are 5 cm tall. During the next three weeks Ben's plant grows f centimetres per week and Emma's grows g centimetres per week. Emma's plant is taller. When the plants are 4 weeks old how much taller is Emma's plant than Ben's, in centimetres?

kind regards frantic dad


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PostPosted: Tue Aug 18, 2015 7:31 pm 
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Joined: Mon Feb 12, 2007 1:21 pm
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Quote:
Ben and Emma each start to grow a plant on he same day. After one week both plants are 5 cm tall. During the next three weeks Ben's plant grows f centimetres per week and Emma's grows g centimetres per week. Emma's plant is taller. When the plants are 4 weeks old how much taller is Emma's plant than Ben's, in centimetres?


What about using numbers first? Try f= 2 and g = 5 [g has to be biggerthan f as we're told Emma's plant is taller] and see how tall the plants would be after two weeks, three weeks then four weeks ... then repeat with letters.


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PostPosted: Tue Aug 18, 2015 8:31 pm 
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Joined: Mon Sep 01, 2014 3:46 pm
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Gave it to my DD... this is what she came up with

Given : 1st week - E = 5cm B = 5cm

E's plant grows 3g in 3 weeks
~ her plant will be (5cm + 3g) cm tall in 4 weeks

B's plant grows 3f in 3 weeks
~ his plant will be (5cm + 3f)cm tall in 4 weeks

(5cm +3g)cm > (5cm +3f)cm

after 4 weeks
E = 3g + 5
B = 3f + 5

E-B = 3g + 5 - (3f + 5)
= 3g + 5 - 3f - 5
= 3 (g - f) cm

Hope this helps :)

Thanks
Jas


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PostPosted: Sun Aug 23, 2015 9:37 am 
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So, Ober, is that the answer you would be expected to put down please?


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PostPosted: Sun Aug 23, 2015 11:02 am 
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Joined: Mon Sep 01, 2014 3:46 pm
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Hi,

As far as I remember this was a multiple choice question and 4 answers were given. One of the answers was the one solved.

Thanks
Jas


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