Hiking Project Ero'ect,0b.'ective: Better understand slopes and rates of change Scenario: Lawrence's new favourite hobby is hiking in the Rocky Mountains. He is planning on going for a day hike on Saturday with his hiking partner Sakshi, but needs help picking a trail. He'd like something difficult, but. not too difcult. Since he has plans Saturday night. he wants a hike that'll take them about 3 hours to get to the top, leaving lots of time to eat lunch, take pictures, and get back to the car before the afternoon is over. Lawrence has been using the Parks Cana'ia website to nd hiking trails: htt 5: www. . c.ca en nn ab banfl activ. randonee- ' '. The page lists trails near Banff, but you can see more trails by using the sidebar to click on Castle Junction trails, Lake Louise trails, or lceelds Parkway trails. For each hike there's a description ofthe trail, the length. the elevation gain. the hiking time, and the trailhead. Complete all parts of this assignment in a single word document or pdf. For any calculations you carry out, show your work. If you do any work for this assignment by hand, take pictures and post it in the word document or use a scanner/phone to digitize the work. if you have any questions, please ask your instructor. They are here to help! Part 1: Last bike (15 marks total} ' Two weeks ago. Lawrence and Sakshi hiked to the top of a mountain. It was really challenging, so he's hoping to do something easier on Saturday that won't take as long. Lawrence used his phone to track his distance and elevation throu out the day. Here's what he recorded: Time 7 Elevation (m) Tithe I Elevation (m) traveled (km) traveled (km) , '___ ___ -_ 1975 , 4.5 _- 7.5 m: I . 1:09PM [-52- ' 1:30PM Lawrence wants to analyse the data from the hike to help him and Sakshi pick a hike for Saturday. a) Is this discrete or continuous data? (1 mark) in) Draw a graph of the distance traveled versus the time. (3 marks) c) Lawrence and Sakshi's day can be divided into 3 parts: climbing the mountain, enjoying the top of the mountain. and descending the mountain. What was their speed (rate of change) during all 3 parts of the hike? Answer in mm. (3 marks) d) What was the average speed for the whole day? (2 marks) N 'O H :0 U! *4___