At the start of the year, a train is half full. Each week the number of people catching this train increases by 1%. How many weeks will it be before the train is full?
Any help on how to work this out would be appreciated
At the start of the year, a train is half full. Each week the number of people catching this train increases by 1%. How many weeks will it be before the train is full?
Any help on how to work this out would be appreciated
Think about what you want to multiply the number by to increase it by 1%, and think about how you're doing this every week (so how will the third week be related to the second?). Hope this helps.
Think about what you want to multiply the number by to increase it by 1%, and think about how you're doing this every week (so how will the third week be related to the second?). Hope this helps.
Thanks guys, you really helped (I'm doing GCSE further maths)- I'm gonna ask my teacher about logarithms and when we'll go over them. Thanks again Thanks you for the link as well, it explains them really well
I remember this question from GCSE further maths many years ago. It’s unfair because you don’t even learn anything about logarithms at this level. I think they just want you to use trial and error on a calculator. But it’s compound interest. After n weeks there will be 50×1.01n people on the train. The question asks you when there will be 100 people on the train. So you need to solve an equation from this which uses logarithms - but you don’t strictly need to know about logarithms to solve this, since the logarithm is just a shorthand for writing the solution to a exponential equation basically.