#15(A)
First Bike
$380 - $190 ($380 * 0.50) = $190
2nd Bike
$380 - $114 ( $380 * 0.30) = $266
$266 - $53.20 ($266 * 0.20) = $212.80
#15 (B)
Eliza should buy the first bike because it is cheaper. $190 < $212.80
#16
$57 + $28.50 ($57 * .50) = $85.50
Answer:
a) No. t < 0 is not part of the useful domain of the function
b) 2.0 seconds
Step-by-step explanation:
a) A graph of the function is shown below. It shows t-intercepts at t=-0.25 and t=2.0. We presume that t is measured forward from some event such as the ball being thrown or hit. The model's predicted ball location has no meaning prior to that event, when values of t are negative.
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b) It is convenient to use a graphing calculator to find the t-intercepts. Or, the equation can be solved for h=0 any of several ways algebraically. One is by factoring.
h = 0 = -16t² +28t +8 . . . . . . . . . . . . the ball hits the ground when h = 0
0 = -4(4t² -7t -2) = -4(4t +1)(t -2)
This has t-intercepts where the factors are zero, at t=-1/4 and t=2.
The ball will hit the ground after 2 seconds.
An=an-1-3
I hope this helps.