Question

question 2: emma travelled to her grandmothers house and back. the distance - time graph shows information about her journey. (a) what time did emma begin her journey? (b) how far was emma from home at 8am? (c) how long did emma stay at her grandmothers house? (d) what time did emma leave her grandmothers house? (e) how far was emma from home at 11:45? (f) how far did emma travel in total? © corbettmaths 2016

Explanation:

Step1: Find the start time of the journey

The journey starts at the left - most point of the graph. Looking at the x - axis (time axis), the start time is \(7:00\) am.

Step2: Find the distance at 8 am

Locate \(8\) am on the x - axis. Then go up to the graph. The y - value (distance from home) at \(8\) am is \(20\) miles.

Step3: Find the time of stay at grandmother's house

The time at grandmother's house is when the distance from home is constant (the flat part of the graph at the maximum distance). The start of the flat part is at \(9:00\) am and the end is at \(10:00\) am. So the time of stay is \(1\) hour.

Step4: Find the leave time from grandmother's house

The leave time is when the distance from home starts to decrease. Looking at the graph, it is \(10:00\) am.

Step5: Find the distance at 11:45

Locate \(11:45\) on the x - axis. Then go up to the graph. The y - value (distance from home) at \(11:45\) is \(15\) miles.

Step6: Find the total distance traveled

The maximum distance from home is \(40\) miles. Since she travels to grandmother's house ( \(40\) miles) and back (another \(40\) miles), the total distance is \(40 + 40=80\) miles.

Answer:

(a) \(7:00\) am
(b) \(20\) miles
(c) \(1\) hour
(d) \(10:00\) am
(e) \(15\) miles
(f) \(80\) miles