Is there anything wrong in this question statement?

[Benjamin_harsh]

Homework Statement

In 8 years, amount becomes 17 times of P. So in 15 years, amount becomes how much?

Relevant Equations

$\large \frac{8}{?} = \frac{17-1}{n_{2}-1} → \frac{8}{15} = \frac{16}{n-1} →\normalsize n = 31 \; times$

In 8 years, amount becomes 17 times of P. So in 15 years, amount becomes how much?

A) This is the shortcut:

$\large \frac{8}{?} = \frac{17-1}{n_{2}-1} → \frac{8}{15} = \frac{16}{n-1} \normalsize → n = 31 \; times$

Is there any wrong in this question statement?

 

[DaveE]

Your question is too general to have a unique solution. There are many functions that meet your 8 year requirement that will have different results at 15 years. Perhaps you have left out some additional restrictions on the type of function (like it has to be linear, for example)?

 

[RPinPA]

As @DaveE says, it depends on what type of model you're studying and supposed to be applying. A more common model for growth is exponential, $P = P_0 e^{at}$ or $P/P_0 = e^{at}$ in which case you're expected to use the given value of $P/P_0$ first to solve for the rate constant $a$.