Answer:
25% decrease
Step-by-step explanation:
First find the amount of decrease ( we know this is a decrease since it got smaller)
24-18) =6
Take this over the original amount
6/24 = 1/4 = .25
Change to percent form
25%
25% decrease
Answer:
16,126 ft
Step-by-step explanation:
Using the net change theorem and letting s(t) represent the aircraft's position, and s(0) be the aircraft's position at time t = 0, s(0) = 15000 ft and s(15 be the aircraft's position at time, t = 15 minutes respectively, then,
s(15) - s(0) = ∫₀¹⁵f(t)dt
s(15) - s(0) = ∫₀¹⁵[
]dt
s(15) - 15000 = [
]₀¹⁵
s(15) - 15,000 ft = 
s(15) = 15,000 ft + 1126.07 ft
s(15) = 16,126.07 ft
s(15) ≅ 16,126 ft to the nearest foot
The general formula to form a parabole equation is written below.
y = a(x - h)² + k
with (x,y) is one of the points lies on the parabola, and (h,k) is the vertex of the parabola.
From the question above, we get this information
(x,y) = (5,24)
(h,k) = (4,9)
The remaining value to find is a. We need to find the value of a to form the equation. Input the numbers to the equation.
y = a(x - h)² + k
24 = a(5 - 4)² + 9
24 = a(1) + 9
24 = a + 9
24 - 9 = a
a = 15
Write the equation, without inputing the value of x and y
y = a(x - h)² + k
y = 15(x - 4)² + 9
<em>This is the equation</em>
