Answer:
Draw rise on y-axis from (0,0)-(0,3). Draw run from (0,3) to (4,3). Rise/run=3/4
4 and 5. 4+5 =9 and 4x5 =20 which is 11 more than 9
Let the original price = x
An increase of 10 % = 18.15
Multiply x by (1 + percent increase) which is 1.1x = 18.15
Now to find x divide both sides by 1.1:
X = 16.50
The original price was 16.50
Speed = distance / time
speed = 1(mile) / 4 (minutes)
speed = 0.25 miles per minute
s = 0.25m <== ur equation
there are 60 minutes in an hr....so sub in 60 for m
s = 0.25(60)
s = 15 miles per hr <====
The equation that gives the height is h(t) = - 16t^2 + 18t + 5, which is a parabola.
You cand find the maximum height from the vertex of the parabola.
Let's find the vertex. I will complete squares:
Start by extractin common factor -16:
-16t^2 + 18t + 5 = -16 [t^2 - (18/16) t - 5/16]
I will work with the expression inside the square brackets.
t^2 - (18/16)t - 5/16 = t^2 - (9/8) t - 5/16 =
Completing squares: (t - 9/16)^2 - (9 / 16 )^2 - 5/16
(t - 9/16)^2 - 81/ 256 - 5/16 = (t -9/16)^2 - 161/256
Now, include add include the factor -16[ (t- 9/16)^2 + 161/256 ] =
= -16 (t - 9/16)^2 + 161/16
That means that the vertex is 9/16, 161/16
So, the maximum height is 161 / 16 = 10,06, which is lower than the fence.
Answer: She will not make it over the fence.
