Fly Advertisement

Take turns with your partner choosing a box to complete. Discuss your response with your partner.
Continue until all boxes have been completed.

The Fly Advertisement Company prints and assembles aerial banners. The first table shows f,
the function which can be used to determine the amount of nylon needed based on

, the
length of the banner. The second table shows g, the function which can be used to determine
the time needed to print and assemble an aerial banner based on m, the amount of nylon used.

Area of Nylon Banners

Length Banner,

(feet)

50

75

100

125

150

175

200

225

250

Nylon,

() f

(square feet)

750

1125

1500

1875

2250

2625

3000

3375

3750

Time to Print and Assemble Banners

Nylon, m

(square feet)

800

970

1150

1500

2200

2250

2900

3750

4500

Time, g(m)

(hours)

12

14.55

17.25

22.5

33

33.75

43.5

56.25

67.5

A

What does

(75) 1125 f =
represent in the context of

this situation?

B

How do you know it will take
22.5 hours to print a banner
that is 100 feet long?

C

Estimate the production
time for a banner that is
180 feet in length.

D

Estimate the length of
banner that takes

43.5 hours to print and
assemble.

E

Represent the production
time for a banner 250 feet
in length using a composite
function.

F

Evaluate

( (100)). gf

G

What is the production time
for a banner that is 150 feet
long?

H

What does

(2200) 33 g =
represent in the context of

this situation?

I

How do you know a banner
that takes 56.25 hours to
print and assemble is

250 feet long?

Communicating about Mathematics

How does the composed function help you relate the context to the questions asked?

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