The payphone Problem

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The payphone Problem

Michelle torez-

“I will be investigating a pay phone problem in which I will be using some information and my knowledge to guide me. I will have to make predictions and conclusion’s and use tables to show my work.”

A pay phone will take only 10p, 20p, 50p and £1 coins.

A woman has plenty of 10p and 20p coins. She has no other coins. She can put the coins into the pay phone in any other.

Question?

  1. The woman is going to make a phone call costing any multiple of 10p. Investigate the number of different ways she could put 10p and 20p coins into the payphone.

Prediction

I predict that my table will have a relationship and show me how to find a sequence or the nth term.

Table.

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Key

Green - 1st block

Purple- 2nd block

Blue- 3rd block

Observation

The sequence starts when another coin is put in (a different coin)

The second block goes up by 2, 3, and 4…

And the third block goes up by 1

I think the next value that is 70p will be 21 ways (in order) I found this out using this formula 'background:yellow; '>OR + NR = next result

When

OR is old result

NR is new result

So now to find 70p will be 'background:yellow; '>8 + 13 = 21

Prediction

I don’t think the graph might give ...

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