University:
Concordia University Wisconsin
Course:
MATH 1970 | Applied Calculus
Academic year:

2020
Views:

404

Pages:

2
Author:

do3ran7ut

Lesson 5: Interpreting Graphs of Functions Functions Lesson #5: Interpreting Graphs of Functions pg. 325 [Graph of fuel consumption during a road trip; labeled axis: Amount of Fuel in liters (Y axis) and Time of Day (X axis). The graph is a series of line segments] The Carter Family are driving to the Yukon for a family vacation. The graph represents the amount of fuel (in litres) in the gas tank of their car on the first day of their journey. The graph of the journey is divided into eight line segments. a) With reference to the journey, explain what is happening between: i) A and B driving at a constant rate for 3hrs ii) B and C stopped for about 1/2 hr iii) C and D refueling b) What is the rate of fuel consumption (in litres per hour) between D and E? fuel: 60 - 25 = 35 L rate = 35L/3.5h = 10L/hr time: 3.5 hours c) Which line segment represents the car being refueled for the second time? GH d) Calculate the total time when the car was driven. 7am - 5pm = 10 hrs 2 breaks = 30 min and 1hr 10 - 1.5 = 8.5 hours e) If fuel costs 85¢ per litre, calculate the cost of the fuel used for the first day of the journey. 30 + 35 + 10 + 10 = 85L 85L x 0.85 = $72.25 326 Functions Lesson #5: Interpreting Graphs of Functions Suggest a possible scenario for each of the following graphs: a) [Graph with multiple connected line segments, showing various speed and time changes.] b) [Graph with a series of connected parabolic curves, showing repeating speed increases and decreases.] [Numbered and annotated descriptions below graph a:] travelling at a constant speed slowing down travelling at a slower constant speed speeding up constant speed (faster than 3, slower than 1) slowing to a stop Sketching a Graph Sketch a graph with no scale for each of the following a) the oven temperature when baking a pie [Graph of Oven Temperature (C) vs Time (minutes); the line rises rapidly, then remains mostly constant with a slight decrease, before dropping quickly to zero] b) Ben taking part in a 100 m sprint [Graph of Speed (m/s) vs Time (seconds); the line starts with a rapid positive curve, then forms a mostly constant horizontal line, before rapidly dropping to zero at the end] Complete Assignment Questions #1 - #12

Interpreting Graphs of Functions

Related Documents

Recommended Documents

Description

Related Documents

Free up your schedule!

Take 5 seconds to unlock