Question

Would you rather put $3 in the bank and have it triple each week for 4 weeks or put $4 in the bank and have that quadruple each week for 3 weeks?

Answer 1

Answer:

$4 for 3 weeks

Step-by-step explanation:

If you have 3 dollars in the bank tripling for 4 weeks you're basically doing 3^4 which equals 243 and if you do it the other way it is 4^4 which is 256

Answer 2

The second option will give more money in less time, so that is the better option.

How to determine which option is the better one?

Here we have two options, let's find the amount of money that each one returns.

Option 1:

Here we put $3 on the bank, and it triples each week for 4 weeks.

• So, at week 1 we have:  $3*3 = $9
• At week 2 we have: $9*3 = $27
• At week 3 we have: $27*3 = $81
• At week 4 we have: $81*3 = $243

Option 2:

Here we put $4 on the bank, and it quadruples each week for 3 weeks.

• At week 1 we have: $4*4 = $16
• At week 2 we have: $16*4 = $64
• At week 3 we have: $64*4 = $256

So, in the first option, we end wit $243, and in the second option, we end with $256 in less time. So the better option is the second one.

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