Answer:
y(x) = 7e^(5x)
Step-by-step explanation:
The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that
dy/dx = 5y
Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)
Using the above stated law now, we can relate to our equation, saying that
y(x) = y(0) e^(5x)
The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have
y(x) = 7e^(5x)
And that is our needed equation of the curve
Apparently, we are to presume the cost of the pizza is proportional to its area. The ratio of areas is proportional to the square of the ratio of diameters. Hence we expect a 20" pizza to cost
(20/12)² × $7.95 ≈ $22.08
Ok i will try to answer but i really dont have that much of a clue right now
Chur best answer is gonna be B hope this helps chu