Step 1 :Substitute the given values into the formula: \(1748 = 7600 * e^{12k}\)
Step 2 :Divide both sides by 7600: \(\frac{1748}{7600} = e^{12k}\)
Step 3 :Take the natural logarithm of both sides: \(\ln(\frac{1748}{7600}) = 12k\)
Step 4 :Divide both sides by 12 to solve for k: \(k = \frac{\ln(\frac{1748}{7600})}{12}\)
Step 5 :Substitute the value of k into the formula: \(y = 7600 * e^{\frac{\ln(\frac{1748}{7600})}{12} * t}\)
Step 6 :The final formula relating y to t is: \(\boxed{y = 7600 * e^{\frac{\ln(\frac{1748}{7600})}{12} * t}}\)