### Video Transcript

The heights of five mountains are
shown in the table. Part a) Write down the mountains in
order of height, from shortest to tallest. Lauren says, “Ben Nevis is at least
two times as tall as Pen-y-ghent.” Part b) Show that Lauren is
incorrect.

In order to order the mountains
from shortest to tallest, we firstly need to find the smallest number in the
table. The smallest number is 694. Therefore, the shortest mountain is
Pen-y-ghent. The next smallest number in the
table is 918. Therefore, the next shortest
mountain is Tryfan, at 918 meters.

The only other number under 1000 in
the table is 978. Therefore, the next shortest
mountain is Scaffel Pike. 1085 is smaller than 1345. Therefore, the next shortest
mountain is Snowdon. Finally, the largest number in the
table is 1345. Therefore, the tallest mountain is
Ben Nevis.

The five mountains in order of
height from shortest to tallest are Pen-y-ghent, Tryfan, Scaffel Pike, Snowdon, and
Ben Nevis.

In the second part of our question,
Lauren said that Ben Nevis is at least two times as tall as Pen-y-ghent. Pen-y-ghent was 694 meters
tall. This means we need to multiply this
number by two 694 multiplied by two is 1388. Ben Nevis is 1345 meters tall and
1345 is less than 1388.

This means that Lauren is
incorrect. Ben Nevis is less than two times as
tall as Pen-y-ghent.