There is something missing in the given model equation. I think the correct equation is y= -1/4 x^2 + 5x. You maybe forgot to type the '+' sign. I checked it initially, and I got an answer that's in the choices. So, hopefully, this is correct.
To find the maximum height, you must solve this equation through differential calculus. To find the maxima or minima, you differentiate the equation y in terms of x and equate it to zero.
y' = 2(-1/4)x + 5 = -1/2*x + 5 = 0
By doing this, you would solve the value of x or the horizontal distance.
-1/2*x = -5
x =-5*-2
x = 10 inches
Finally, we substitute this x to the original equation to determine the maximum height y.
y = -1/4*10 + 5(10)
y = 25 inches
The answer is C.
