Topics
5 Ratios and rates
topic badge
AustraliaNSW
Stage 4

5.06 Travel graphs

Lesson
Worksheet
Practice

Interactive practice questions

A manufacturer of a dishwasher wants to create a graph showing how one of their dishwasher models works. The stages of its operation are given below.

  1. The dishwasher quickly fills to half-way and performs a short wash
  2. The dishwasher empties completely
  3. The dishwasher completely fills up quickly and remains full over the course of the wash
  4. The dishwasher empties completely

Which of the following graphs matches the water level inside the dishwasher throughout a cycle?

A line graph has its horizontal axis labeled "Time (minutes)" and its vertical axis labeled 'Water level". The horizontal axis ranges from $0$0 to $60$60, marked and labeled with integers at intervals of $10$10 minutes. The vertical axis ranges from "Empty" at the bottom to "Full" at the top, with a small tick mark at the midpoint indicating a mid-level. Several data points represented by green solid dots are plotted on the graph. A green line connects the plotted data points from left to right. The green line starts at the "Empty" level at $0$0 minutes and then increases to mid-level at around $5$5 minutes. The line remains mid-level until around $10$10 minutes. It then decreases to completely "Empty" level at $20$20 minutes. The line increases to "Full" level at around $30$30 minutes. Then the line decreases to "Empty" level at $60$60 minutes.
A

A line graph has its horizontal axis labeled "Time (minutes)" and its vertical axis labeled 'Water level". The horizontal axis ranges from $0$0 to $60$60, marked and labeled with integers at intervals of $10$10 minutes. The vertical axis ranges from "Empty" at the bottom to "Full" at the top, with a small tick mark at the midpoint indicating a mid-level. Several data points represented by green solid dots are plotted on the graph. A green line connects the plotted data points from left to right. The green line starts at the "Empty" level at $0$0 minutes and then increases to mid-level at around $5$5 minutes. The line remains mid-level until around $10$10 minutes. It then decreases to below mid-level but not "Empty" level at $20$20 minutes. The line increases to "Full" level at around $30$30 minutes. Then the line decreases to "Empty" level at $60$60 minutes.
B

A line graph has its horizontal axis labeled "Time (minutes)" and its vertical axis labeled 'Water level". The horizontal axis ranges from $0$0 to $60$60, marked and labeled with integers at intervals of $10$10 minutes. The vertical axis ranges from "Empty" at the bottom to "Full" at the top, with a small tick mark at the midpoint indicating a mid-level. Several data points represented by green solid dots are plotted on the graph. A green line connects the plotted data points from left to right. The green line starts at the "Empty" level at $0$0 minutes and then increases to mid-level at around $5$5 minutes. The line remains mid-level until around $10$10 minutes. It then decreases to below mid-level but not "Empty" level at $20$20 minutes. The line increases to "Full" level at around $55$55 minutes. Then the line decreases to "Empty" level at $60$60 minutes.
C

A line graph has its horizontal axis labeled "Time (minutes)" and its vertical axis labeled 'Water level". The horizontal axis ranges from $0$0 to $60$60, marked and labeled with integers at intervals of $10$10 minutes. The vertical axis ranges from "Empty" at the bottom to "Full" at the top, with a small tick mark at the midpoint indicating a mid-level. Several data points represented by green solid dots are plotted on the graph. A green line connects the plotted data points from left to right. The green line starts at the "Empty" level at $0$0 minutes and then increases to mid-level at around $5$5 minutes. The line remains mid-level until around $10$10 minutes. It then decreases to completely "Empty" level at $20$20 minutes. The line increases to "Full" level at around $30$30 minutes. Then the line remains constant for prolonged period before decreasing to "Empty" level at $60$60 minutes.
D
Easy
< 1 min

Which part of this travel graph is impossible?

Easy
< 1 min

Tina is cycling to the bus stop, but halfway there she gets a flat tire and has to push her bike the rest of the way. Upon reaching the bus stop, she has a short wait for the bus and then catches the bus to her final destination.

Which of the following graphs best matches this story?

Easy
< 1 min

Paul is driving his child home from school. After $5$5 minutes, the car slows down.

Medium
< 1 min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account
Book a Demo
Sign up for free

Outcomes

MA4-11NA

creates and displays number patterns; graphs and analyses linear relationships; and performs transformations on the Cartesian plane

MA4-15MG

performs calculations of time that involve mixed units, and interprets time zones

What is Mathspace

About Mathspace