1. Section 2

1.31. Explore 3

Mathematics 20-3 Module 3

Section 2: Slope—Rate of Change

 

Self-Check 2

 

This image shows a measuring tape near the two feet or 61 centimetre point.

Hemera/Thinkstock

When you are asked your height, do you answer in feet and inches or do you answer in metres and centimetres? Can you answer using both systems?

  1. Using proportions and the relationship of 1 m = 3.281 ft (rounded to the nearest thousandth), convert your height from

     

    1. the imperial system to the SI system (Give your answers rounded to the nearest centimetre.) Answer

       

    2. the SI system to the imperial system (Give your answer rounded to the nearest inch.) Answer
Try This 3

 

It took Bern Goosen 6 days, 3 hours, and 20 minutes to climb the 3885 m from the starting point of Rongai Route to Uhuru Peak, the summit of Mt. Kilimanjaro. The climb started on October 9, 2007, at 12:40 p.m. and ended on October 15 at 4:00 p.m.

  1. To the nearest hour, how much time did Bern spend on his climb? hint

  2. Use proportional reasoning to find the average number of metres climbed each hour. Round your answer to the nearest metre. hint
Did You Know?

In Swahili, an African language spoken in East Africa, the word Uhuru (Uhuru Peak, the peak of Mount Kilimanjaro), means “freedom” or “independence.” The name of a character from the original Star Trek TV series, Lieutenant Uhura, comes from the same word.

Use your favourite search engine and a guided search to find video footage of a person, or people, climbing Mt. Kilimanjaro by wheelchair. You will see how challenging this climb can be. Use the search terms “wheelchair Kilimanjaro climb.”

 

After viewing the video, do you have a better understanding of why Bern’s climbing rate was only 26 m/h?

 

The proportion you use might look something like this.

 

Try turning each time unit into hours.

 

6 days = ? h

3 h = 3 h

20 min = ? h

 

Then total the number of hours it took Bern to climb the mountain.