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
To find out the number of times Peter checked his phone by 2 p.m., we refer to the graph. At 2 p.m., the graph indicates that he had checked his phone a total of 55 times. Therefore, the answer is 55.
Step 2
(ii) Peter did not check his phone at all from:
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Answer
Looking at the intervals provided, it’s evident from the graph that Peter did not check his phone at all during the time from 10 – 12 noon. We can select this option.
Step 3
(iii) Peter checked his phone most often from:
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Answer
Analyzing the changes in the graph during each time segment, we can conclude that Peter checked his phone the most often from 12 – 2 p.m. based on the steepest incline of the graph.
Step 4
(i) Use this formula to find the value of N when H is 8.
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Answer
Using the formula N=6×H, we substitute H = 8:
N=6×8=48
Thus, the total number of times he had checked his phone after 8 a.m. is 48.
Step 5
(ii) Do you think this is a reasonable estimate?
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Answer
No, this is not a reasonable estimate. Since Peter checked his phone for a total of 48 times during the day as per our previous calculation, checking it 156 times by the following day would be an unrealistic expectation. The average does not support such a high estimate.
Reason: Given that the pattern suggests a maximum of 48 phone checks, a projection of 156 in the following day is excessively high when compared to observed data.
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