Answer:
6.40 years
Explanation:
Set P(t) equal to 1 million and solve for t. Logarithms make it easy.
1,000,000 = 201,753×e^(0.25t)
1,000,000/201,753 = e^(0.25t) . . . . divide by the coefficient of the exponential
ln(4.95656) = 0.25t . . . . . . take the natural log. Next, divide by the coefficient of t.
ln(4.95656)/0.25 = t ≈ 6.04
_____
Comment on the graph
The function graphed is the population in millions. The horizontal axis is the time in years, so the curve crosses the million mark at 6.403 years.
