The graph below shows the total number of times Peter checked his phone from 8 a.m - Junior Cycle Mathematics - Question 4 - 2021
Question 4
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=6imesH
Substituting H = 8:
N=6imes8=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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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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