Which Is Bigger?
Mike, James, Toby, Molly and Harry from
Highfields School, Owen, Estee and Emma from Montessori School,
Connor from Gladesmore School, and Karnan from Stag Lane Junior all
came up with a similar explanation for the first part of the
problem.
Jasmine from Highfields
explained:
I plotted both equations on a graph. From this I found out that
they both intercept when x=7 Therefore from the graph I have found
that:
When n=7,both equations are the same value
When n< 7, n+10 is the biggest
When n> 7, 2n+3 is the biggest
Charlie and Alison got different answers because one person chose a
value below 7 and one person chose a value above 7. This method
works with every set of equations where you have to find the
biggest.
Zak explained how a graph
helped:
From looking at this graph we can see that the line with the
equation 2n+3 has a larger gradient and so overtakes the line with
the equation n+10 even though it starts off lower, so because 2n+3
has a larger gradient it will be larger after n=7.
We also received some solutions as
documents which you can download below:
Rajeev
from Haberdashers' Aske's Boys' School
Niharika
from Leicester High for Girls
Shivin from the British
School, Manila
Siddhartha
from Beijing City International School
Amar from Wilson's
School
Well done to you all!
