# data[].attributes.custom_properties.UyhysWwg
The middle. So that he could rest halfway there

# data[].attributes.custom_properties.oYhoXCEw
Not necessarily because of the slope was steeper he might also take longer

# data[].attributes.custom_properties.1G1F9LL0
slope 1. He reached 150m high in the shortest time 

# data[].attributes.custom_properties.UyhysWwg
At the 30min timestamp. That part would be easy as he can rest without needing to increase his elevation by climbing.

# data[].attributes.custom_properties.Y3S4VSsQ
we can calculate the gradient of the slope 

# data[].attributes.custom_properties.oYhoXCEw
Yes, a gentler slope means a lower gradient and, the vertical height increases more slowly over time. 

# data[].attributes.custom_properties.UyhysWwg
In the middle so that he can maximise the time used to climb

# data[].attributes.custom_properties.Y3S4VSsQ
Using the gradient, see how fast he moves up the slope

# data[].attributes.custom_properties.oYhoXCEw
Yes, as he will gain less height in the same amount of time

# data[].attributes.custom_properties.UyhysWwg
after 30 min it is a good stop for a break for him to rest 

# data[].attributes.custom_properties.oYhoXCEw
yes a gentler slope means that the the elevation is less so it takes longer to gain height

# data[].attributes.custom_properties.1G1F9LL0
Slope 1. This is because it is the steepest.

# data[].attributes.custom_properties.UyhysWwg
In the middle. This way, he can regain some of his energy before continuing the next half of his journey.

# data[].attributes.custom_properties.Y3S4VSsQ
In slope 1, he ascends at a constant speed of 3 metres per minute. In slopes 2 and 4, he ascends at an average speed of 1.67 metres a minute. In slope 3, he ascends at an average speed of 1.875 metres a minute.

# data[].attributes.custom_properties.oYhoXCEw
Yes. A gentler slope has would make Paul ascend to a smaller altitude while taking the same amount of time.

# data[].attributes.custom_properties.1G1F9LL0
Slope 1. Slope 1 is the steepest, so Paul will be able to go up the quickest.

# data[].attributes.custom_properties.UyhysWwg
After the 30 minutes of continuous walk. It made that part tough because that was the maximum time Paul could walk before needing a break.

# data[].attributes.custom_properties.Y3S4VSsQ
We can calculate the average rate of increase of height for the different slopes.

# data[].attributes.custom_properties.oYhoXCEw
Yes. A gentler slope would mean he would need to walk more to go higher.

# data[].attributes.custom_properties.wY6aqYmo
Slope 4. The last stretch of slope 4 is the steepest, so it will be the hardest climb.

# data[].attributes.attachment_link.title
S1 Math Unit 8 Linear Functions Study Notes Pg 20

# data[].attributes.custom_properties.1G1F9LL0
Slope four. It was the steepest and the highest gradient.

# data[].attributes.custom_properties.UyhysWwg
Slope four. It was the steepest and the most tiring to walk up. It was the easiest cause I put it at the end

# data[].attributes.custom_properties.Y3S4VSsQ
We can use rise over run, and we can compare using the gradient.

# data[].attributes.custom_properties.oYhoXCEw
Yes. It is a lower gradient, so his rise/run is lower

# data[].attributes.custom_properties.wY6aqYmo
Slope four. It was the steepest and the highest gradient.

# data[].attributes.custom_properties.UyhysWwg
It would be the part where he did not gain any distance at all for Slope 2 and Slope 3. However for slope 1, he would have to rest in the middle of the steep slope

# data[].attributes.custom_properties.oYhoXCEw
No. Because the slope might be steeper and he would take longer

# data[].attributes.custom_properties.wY6aqYmo
Slope 1. It is the most steepest slope, which requires more effort to climb

# data[].attributes.custom_properties.UyhysWwg
After 30 min. it is the time he can rest and regain hs energy

# data[].attributes.custom_properties.Y3S4VSsQ
calculate the average o the increase in height

# data[].attributes.custom_properties.oYhoXCEw
yes. A gentler slope would be lower compared to a steeper one

# data[].attributes.custom_properties.wY6aqYmo
1. the first part uphill is the steepest.

# data[].attributes.custom_properties.UyhysWwg
At the 30 minute break. It allows Paul to recharge and rest himself before continuing on his adventure.

# data[].attributes.custom_properties.oYhoXCEw
Yes. Gentler slope means a lower gradient.

# data[].attributes.custom_properties.wY6aqYmo
1. It is the steepest which requires more energy.

# data[].attributes.custom_properties.Y3S4VSsQ
How high he moves compared to how much time he takes.

# data[].attributes.custom_properties.oYhoXCEw
yes, it takes more time to gain the same height

# data[].attributes.custom_properties.wY6aqYmo
Slope 3, it was the steepest as he had to climb higher in the same amount of time

# data[].attributes.custom_properties.UyhysWwg
Slope 3 as it was the most steepest adn tiring

# data[].attributes.custom_properties.oYhoXCEw
yes as the sloop is not steep then his increase is slower

# data[].attributes.custom_properties.wY6aqYmo
Slope 3 as the altitude gain was most and it was a short amount of time

# data[].attributes.custom_properties.UyhysWwg
In the middle, as he will be able to regain energy before climbing the other half

# data[].attributes.custom_properties.1G1F9LL0
Slope 5. It is the steepest and shortest.

# data[].attributes.custom_properties.UyhysWwg
He would have rested at midpoint. This would allow him to regain his energy before the second half.

# data[].attributes.custom_properties.oYhoXCEw
Yes. He would take longer as the slope is gentle, gaining height at a slower rate.

# data[].attributes.custom_properties.UyhysWwg
Mid way slope 2 as it is a very long slope so resting mid way would be good

# data[].attributes.custom_properties.Y3S4VSsQ
Compare the height travelled with the time spent

# data[].attributes.custom_properties.1G1F9LL0
Slope 4, it is the steepest and has very short breaks.

# data[].attributes.custom_properties.UyhysWwg
It would be somewhere in between so it gives him a short break to recharge before starting the other half.

# data[].attributes.custom_properties.oYhoXCEw
Depends, because even if the slope is steep, he will need more effort and thus might take longer as well.

# data[].attributes.custom_properties.wY6aqYmo
Slope 4, it is the steepest and thus would require the most effort.

# data[].attributes.custom_properties.1G1F9LL0
The last slope helped Paul gain the most height quickly because it was the steepest slope.

# data[].attributes.custom_properties.UyhysWwg
It was before the large slope, so that he has enough energy to make it to the end in one go later.

# data[].attributes.custom_properties.Y3S4VSsQ
We can divide the distance climbed by the time taken for each slope.

# data[].attributes.custom_properties.oYhoXCEw
Yes, when the slope is gentle, he gains less height slower. 

# data[].attributes.custom_properties.1G1F9LL0
Slope 1, he completed the climb in a shorter time

# data[].attributes.custom_properties.UyhysWwg
Middle, it would make it tougher as he would have less breaks but he would minimise the time needed to rest

# data[].attributes.custom_properties.oYhoXCEw
Yes, as he still moves at the same speed

# data[].attributes.custom_properties.wY6aqYmo
Slope 1, he completed the climb in a shorter time thus he needed to move faster

# data[].attributes.custom_properties.Y3S4VSsQ
We can use rise over run and then use gradient to compare.

# data[].attributes.custom_properties.1G1F9LL0
Slope 1, it is let him climb the greatest height in the shortest time

# data[].attributes.custom_properties.UyhysWwg
After 30min of climbing he can rest on a flat surface of the slope. it is easy because he did not have to climb higher

# data[].attributes.custom_properties.oYhoXCEw
Yes, a gentler slope means the elevation is less so it take longer to reach a greater height 

# data[].attributes.custom_properties.wY6aqYmo
Slope 1, Paul had to climb the greatest heigh in the shortest  time

# data[].attributes.custom_properties.1G1F9LL0
Slope 1, it is let him climb the greatest height in the shortest time

# data[].attributes.custom_properties.UyhysWwg
After 30min of climbing he can rest on a flat surface of the slope. it is easy because he did not have to climb higher

# data[].attributes.custom_properties.oYhoXCEw
Yes, a gentler slope means the elevation is less so it take longer to reach a greater height 

# data[].attributes.custom_properties.wY6aqYmo
Slope 1, Paul had to climb the greatest heigh in the shortest  time

# data[].attributes.custom_properties.1G1F9LL0
All of them take the same time to reach the top.

# data[].attributes.custom_properties.UyhysWwg
for slope 1 he will be able to wait on a flat surface but for slopes 2 and 3 he will have to rest in the middle of a steep area

# data[].attributes.custom_properties.oYhoXCEw
no because a steeper slope may be more tiring to go up

# data[].attributes.body
slope 5 is soo peak gang

# data[].attributes.custom_properties.UyhysWwg
flat place... if too steep is he gonna float of his he gonna roll down

# data[].attributes.custom_properties.Y3S4VSsQ
find the average rate and find hight of diff slopes or we can just find gradient

# data[].attributes.custom_properties.1G1F9LL0
Slope 3. It has the largest m value (3.125), which means he reached the same height in the shortest time.

# data[].attributes.custom_properties.UyhysWwg
He could rest at the flat paths. It is easy because they are flat.

# data[].attributes.custom_properties.Y3S4VSsQ
Paul gains 1.67(to 2dp) metres/min for slope 1 and 2, and 3.125 metres/min for slope 3.
A useful way to compare steepness of a slope is to calculate its m-value.

# data[].attributes.custom_properties.oYhoXCEw
Yes, as they are not as steep, he gains less height in the same amount of time compared to a steeper path.

# data[].attributes.custom_properties.UyhysWwg
After the 30 minutes of walking. It would be tough because it was the max amount of time before needing a break.

# data[].attributes.custom_properties.Y3S4VSsQ
Calculate the average height of the slope

# data[].attributes.custom_properties.oYhoXCEw
Yes. A gentler slope means you would need to walk more

# data[].attributes.body
Paul needs a warm up, it will feel easier as he goes

# data[].attributes.custom_properties.1G1F9LL0
slope 5, it was the steepest, but it included ropes and ladders as well as letting Paul climb on rocks and gain elevation quickly.

# data[].attributes.custom_properties.UyhysWwg
he would rest after slope 1 and 2 as that served as a warm up, than slope 3 would be steeper as he had just taken a rest, after 10 minutes, the slope lessened in steepness so paul didnt have to go so hard, after that rest, and then with sufficiant rest, he would go all the way up and take another rest but than walk to the end.

# data[].attributes.custom_properties.Y3S4VSsQ
compare it to the average steepness of the entire hike

# data[].attributes.custom_properties.oYhoXCEw
Yes, as the slope is gentler, the less inclined, meaning that with every minute passed, he goes up less

# data[].attributes.custom_properties.wY6aqYmo
Slope 3, although Paul had just finished the break it went up at a pretty rigourous pace without ropes or ladders