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The graph below shows the total number of times Peter checked his phone from 8 a.m - Junior Cycle Mathematics - Question 4 - 2021

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Question 4

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The graph below shows the total number of times Peter checked his phone from 8 a.m. to 6 p.m. on a given day. For example, by 6 p.m. Peter had checked his phone a to... show full transcript

Worked Solution & Example Answer:The graph below shows the total number of times Peter checked his phone from 8 a.m - Junior Cycle Mathematics - Question 4 - 2021

Step 1

(i) By 2 p.m., the total number of times Peter had checked his phone was:

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Answer

From the graph, we observe that by 2 p.m. Peter had checked his phone a total of 55 times. Thus, we would tick the box for 55.

Step 2

(ii) Peter did not check his phone at all from:

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Answer

From the graph, Peter did not check his phone at all from 10 – 12 noon. Hence, we would select that option.

Step 3

(iii) Peter checked his phone most often from:

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Answer

Looking at the graph, it is evident that the period during which Peter checked his phone most often was from 12 – 2 p.m. Therefore, we would tick that box.

Step 4

(i) Use this formula to find the value of N when H is 8.

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Answer

Using the formula, we have:

N=6imesHN = 6 imes H

Substituting H = 8:

N=6imes8=48N = 6 imes 8 = 48

Thus, the total number of times Peter had checked his phone is 48.

Step 5

(ii) Do you think this is a reasonable estimate?

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Answer

I believe this is not a reasonable estimate. Given that Peter has already checked his phone a cumulative total of 156 times estimated by using H = 24, this figure significantly exceeds his past behavior of checking 6-5 times per hour. Therefore, the estimate of 156 times seems unreasonable.

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