Answer
(a) See image.
(b) $a \approx 42, b \approx 1.05$.
(c) Doubling time $\approx 13.27$ hours
(Note that other answers are possible depending on the the points/method used to estimate the function.)
Work Step by Step
(a) See image.
(b) Using a graphing device, we can estimate that:
$a \approx 42, b \approx 1.05$.
(c) From the graphing device, we know that $f(t)\approx(42)(1.05^{t})$
At the beginning, $f(0)=42 \times 1.05^{0} = 42$
So, doubling time would be $f(t) = f(0) \times 2 = 42 \times 2 = 84$
From the graphing calculator, we can see that:
$f(t) = 84$ at $t=13.27$ hours
