Final answer:
The question appears to be a misunderstanding related to measuring eighth notes in music with eighth notes. However, interpreting the question within a mathematical context allows for various examples of calculating one eighth of different quantities, such as time or numbers.
Step-by-step explanation:
The student's question seems to be a misunderstanding, as an eighth note in music would not be measured in other eighth notes. However, if we interpret the question to be related to fractions and division, as comparable mathematical problems are often encountered in school, we could provide some information.
For example, if the question was 'What is one eighth of an hour in minutes?', the solution would involve converting one hour into minutes (60 minutes) and then multiplying by 1/8:
1/8 of an hour is 60 minutes multiplied by 1/8, which equates to 7.5 minutes or 7 minutes and 30 seconds.
In another context, if the question was 'What is one eighth of 1,000?', the calculation would be 1,000 multiplied by the reciprocal of 8, giving us an answer of 125.
To calculate how long it would take to double if we're currently at 1/8 and we double every 35 years, we would reach 1/4 in 35 years, 1/2 in 70 years, and become full in 105 years.