Answer:
t must be greater than 5.0
Step-by-step explanation:
P ( t ) = 1050e^0.16t
We want P(t) > 2337
2337 < 1050e^0.16t
Divide each side by 1050
2337/1050< 1050/1050 e^0.16t
Take the natural log of each side
ln (2337/1050)) < ln(e^0.16t )
ln (2337/1050) < 0.16t
Divide by .16
ln (2337/1050)/.16 < 0.16/.16t
ln (2337/1050)/.16 < t
5.00049<t
The answer choices tell you this is a parabola.
The given points tell you it opens upward and the vertex is (2, -3).
Your knowledge of the vertex form of the equation is the only "technology" that you need. The vertex form is
y = a(x - h)² + k . . . . . for vertex (h, k)
The fact that the y-value is 1 more than its vertex value when |x-2| = 1 tells you the scale factor "a" is 1.
You can write the model as
D. f(x) = (x -2)² - 3
I can not see the answer or the question