2017 Precalculus Section Function Word Problems.notebook
ood thing….
1.
Warm-up
Wednesday February
Precalculus22
V(w) = ____________________
Sep 11­2:35 PM
Sep 9­9:52 AM
2. A box with a square base and no top has
a volume of 4 cubic meters. Express the total
surface area A of the box as a function of
the width w of the base.
Sep 9­9:54 AM
A box with a square base has a
surface area (including the top) of 8
square meters. Express the volume V
of the box as a function of the width w
of the base.
An open top box with a square base is to be
constructed from sheet metal in such a way that the completed box is made of 2 square meters of sheet metal. Express the volume of the box as a function of the base width. A(w) = _____________________
February 22, 2017
NO TOP
3. A box with a square base and no top has a
surface area of 40 square meters. Express the
volume V of the box as a function of the width
w of the base.
V(w) = ____________________
NO TOP
Sep 9­9:57 AM
1
2017 Precalculus Section Function Word Problems.notebook
February 22, 2017
5. Water flows into a conical tank 100 cm wide and 250 cm
4. A box with a square base and top has a volume of
25 cubic meters. Express the total surface area
A of the box as a function of the width w of the base.
deep at a rate of 40 cm3 /s. Find the volume
V of the water in the tank as a function of the
height of the water. Represent h as a function of the time t
that the water has been flowing into the empty tank.
A(w) = _____________________
V(h) = ____________________
h(t) = _____________________
Sep 9­9:58 AM
Sep 9­10:00 AM
6. A light 10 feet above the ground causes a boy
4 feet tall to cast a shadow s feet long
measured along the ground, as shown below. Express
s as a function of d, the boys distance in feet from the light.
s(d) = ____________________
10ft
7.
When a girl 5 feet tall stands between
a wall and a light on the ground 60 feet away,
she casts a shadow h feet high on the wall, as
shown at the right. Express h as a function of
d, the girl‛s distance in feet from the light.
h(d) = _____________________
4ft
sft
dft
hft
5ft
dft
60 ft
Sep 9­10:01 AM
Sep 9­11:09 AM
2
2017 Precalculus Section Function Word Problems.notebook
February 22, 2017
Assignment:
Function Problem Worksheet
Sep 9­11:17 AM
Sep 12­1:37 PM
3