Answer:
14) t=2hours
15)a=5/4
Step-by-step explanation:
14) The graph of y = -0.5 l t l is an inverted "V-shaped" graph with highest point when t = 0 and y = 0.
To obtain the graph of r = -0.5 l t - 1 l + 0.5, translate the graph of y = -0.5 l t l one unit to the right and 0.5 units upward. The highest point on this graph occurs when t = 1 and r = 0.5.
Maximum rate of rainfall = 0.5 inches/hr
The rain stops when r = 0. So, -0.5 l t - 1 l + 0.5 = 0
l t - 1 l = 1
t - 1 = 1 or t - 1 = -1
t = 2 or t = 0
t > 0, so the rain stops when t = 2 hours
15)The vertex of the path of the ball is (6, 0), so the equation
has the form y = a⎜x − 6⎟ . Substitute the coordinates of
the point (5, __5
15)The vertex of the path of the ball is (6, 0), so the equation
has the form y = a⎜x − 6⎟ . Substitute the coordinates of
the point (5, __5
4) into the equation and solve for a.
y = a ⎜x - 6⎟
_5
4 = a ⎜5 - 6⎟
_5
4 = a ⎜-1⎟
_5
4 = a
An equation for the path of the ball is y =
_5
4
⎜x − 6⎟.
