Junior Cycle Mathematics Probability: In a raffle, there is a choice o

Question

In a raffle, there is a choice of three different prizes, A, B, or C. The winner of the raffle chooses one prize.

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 she got the day before.

(i)  Complete the table below to show how much she gets each day for Prize A.

Day 1          Day 2         Day 3          Day 4          Day 5          Day 6
Prize A        €10          €15          ______        ______        ______        ______

(iii)  Find the total amount of money the winner will get if she chooses Prize A.

Prize B:  The winner gets €2 on Day 1, €4 on Day 2, and so on until Day 6.
   Each day after Day 1, she gets twice as much as she got the day before.

(i)  Complete the table below to show how much she gets each day for Prize B.

Day 1          Day 2         Day 3          Day 4          Day 5          Day 6
Prize B        €2           ______        ______        ______        ______        ______

(ii)  What kind of sequence is made by the daily amounts that the winner gets for Prize B?
   Give a reason for your answer.

Kind of sequence:  (Tick ✓ one box only)  Linear       Quadratic      Exponential   
Reason:

For Prize C, the winner gets a single prize of €100 on Day 1.

(c)  Which prize do you think Alexa should choose, Prize A, Prize B, or Prize C?
   Give a reason for your answer.

Alexa should choose:  Prize A       Prize B       Prize C       (Tick ✓ one box only)
Reason:

In a raffle, there is a choice of three different prizes, A, B, or C - Junior Cycle Mathematics - Question 4

Worked Solution & Example Answer:In a raffle, there is a choice of three different prizes, A, B, or C - Junior Cycle Mathematics - Question 4

Complete the table below to show how much she gets each day for Prize A.

What kind of sequence is made by the daily amounts that the winner gets for Prize A? Give a reason for your answer.

Find the total amount of money the winner will get if she chooses Prize A.

Complete the table below to show how much she gets each day for Prize B.

What kind of sequence is made by the daily amounts that the winner gets for Prize B? Give a reason for your answer.

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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Day	Prize A
Day 1	€10
Day 2	€15
Day 3	€20
Day 4	€25
Day 5	€30
Day 6	€35