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# Math Investigation

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### Math Investigation

1. 1. ROADTRIPBy, Nicholas, Michael B. and JustinFriday, 10 May, 13
2. 2. PROBLEMFriday, 10 May, 13
3. 3. STEP ONE• First, you need to ﬁnd the average distance per day, by dividingthe total by the number of days, making 80.Friday, 10 May, 13
4. 4. STEPTWO• Next, knowing the average of 80, it would help to make atable.• Because the number of km travelled per day increase by 15each day, the number of km each day starting from day 4 mustbe 80, then 95, then 110, then 125, as it increases by 15 eachtime. Much the same, to counter the increase of the followingdays, you must have a decrease on the previous days, so eachprevious day must include a decrease by 15, so...Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7Km 80 80 80 80 80 80 80Friday, 10 May, 13
5. 5. STEPTHREE• The chart will look something like this once all the increasesand decreases have been completed. If you were to count upall of the days, you would ﬁnd that they add up to 560, and ifyou were to make a bar graph, you would ﬁnd that thedistance would increase in a linear pattern of 15 per day.Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7Km 35 50 65 80 95 110 125Friday, 10 May, 13
6. 6. ANSWER• So the ﬁnal answer is that she traveled 125km on day 7.Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7Km 35 50 65 80 95 110 125Friday, 10 May, 13