HOMEWORK:
Applications of Quadratic Equations Word Problems
1.) The path of a ball thrown into the air is given by
1 2
x + 2x + 4
12
where y is the height of the ball in feet at the horizontal distance of x feet from
the thrower.
y=!
Complete the following table which models the trajectory of the ball:
x
y
Graph the trajectory of the ball (label the axes)
16
14
12
10
8
6
4
2
5
10
15
20
a.) How high is the ball when it is first released? _________________________
b.) How high is the ball when it is 14.2 feet from the thrower ?________________
c.) How high is the ball at it’s maximum height ? ___________________________
d.) How far from the thrower is the ball when it hits the ground ?_________
e.) Restrict the domain in the context of this problem. ________________
f.) What is the range in the context of this problem ? ________________
25
HOMEWORK:
Applications of Quadratic Equations Word Problems
2.) A manufacturer of lighting fixtures has daily production cost of
C = 800 ! 10 x + .25 x 2
where C is the total cost (in dollars) and x is the number of units produced. How
many fixtures should be produced each day to yield a minimum cost ?
3.) A punter kicked a 41 yard punt. The path of the football can be modeled by
y = !.035 x 2 + 1.4 x + 1
where x is the distance (in yards) the football is kicked and y is the height (in yards)
the football is kicked.
a.) What was the maximum height reached by the football ?
b.) How far from the punter did the football hit the ground ?
c.) Restrict the domain in the context of this problem.
d.) What is the range in the context of this problem ?