Prize A: The winner gets some money each day for six days - Junior Cycle Mathematics - Question 4 - 2017
Question 4
Prize A: The winner gets some money each day for six days. She gets €10 on Day 1, €15 on Day 2, and so on until Day 6. Each day after Day 1, she gets €5 more than sh... show full transcript
Worked Solution & Example Answer:Prize A: The winner gets some money each day for six days - Junior Cycle Mathematics - Question 4 - 2017
Step 1
Complete the table below to show how much money she gets each day for Prize A.
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Answer
Day
Amount (€)
Day 1
10
Day 2
15
Day 3
20
Day 4
25
Day 5
30
Day 6
35
Step 2
What kind of sequence is made by the daily amounts that the winner gets for Prize A? Give a reason for your answer.
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Answer
Kind of sequence: Linear
Reason: Each amount increases by €5 consistently, indicating a linear pattern.
Step 3
Find the total amount of money the winner will get if she chooses Prize A.
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Answer
Total = 10 + 15 + 20 + 25 + 30 + 35 = €135
Step 4
Complete the table below to show how much money she gets each day for Prize B.
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Answer
Day
Amount (€)
Day 1
2
Day 2
4
Day 3
8
Day 4
16
Step 5
What kind of sequence is made by the daily amounts that the winner gets for Prize B? Give a reason for your answer.
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Answer
Kind of sequence: Exponential
Reason: Each amount doubles the previous one.
Step 6
Which prize do you think Alexa should choose, Prize A, Prize B, or Prize C? Give a reason for your answer.
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Answer
Alexa should choose: Prize A
Reason: Prize A offers a higher total amount over six days compared to the single prize of €100 for Prize C.
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