Question 1203019
<br>
You are doing most of the work right; but your equation for C in the new problem is not what you intended.<br>
NOTE: For readability, use "^" (shift-6) to denote an exponent -- e.g. "q^2" and "t^3" instead of "q2" and "t3".  (It might be that you were using some other special character to represent and exponent, and that special character doesn't show up at all.)<br>
In the new problem, you wrote<br>
{{{C=a^3+b/t^2}}}<br>
But what you meant was<br>
{{{C=at^3+b/t^2}}}<br>
Fix that and solve the problem using the methods you show and you will get the correct answer of 62.<br>
I'll go ahead and finish solving the problem; but you will get more benefit if you finish it yourself and compare your work and final answer to mine.<br>
t=1: {{{74=a+b}}}
t=2: {{{34=8a+b/4}}}<br>
{{{136=32a+b}}}
{{{62=31a}}}
{{{a=2}}}<br>
{{{74=2+b}}}
{{{b=72}}}<br>
The equation is<br>
{{{C=2t^3+72/t^2}}}<br>
When t=3...<br>
{{{C=2(27)+72/9=54+8=62}}}<br>