Radio Activity Growth Rate

Question

The engineers at a nuclear plant find that the containment vessel in a reactor is emitting radioactivity at a growing rate according to the function, C(t) = 1.2e^0.7t, where C represents emissions in millisieverts per hour, and t represents the number of hours since the initial breach in the containment vessel.

Based on this function, which of the following approximates the total number of gallons of water that will be treated in the first five hours?

Choice (D) is correct.

t = 5 (hours)

Substitute 5 for t in the formula:

1.2e^{0.7t HOW DO I ARRIVE AT THIS CONCLUSION? WHAT DOES e represent?}

t=39.739

Answer 1

C(t) = 1.2e^0.7t

C(5) = 1.2e^(0.7)(5)

C(5) = 1.2e^3.5

C(5) ≈ 1.2(33.11545)

C(5) ≈ 39.7385