Represent Functions as Rules and TablesSection 1.6

Functions• When you go to the movies, the total cost depends on how

many of your friends go with you.• If the movie costs 8000w, you and your friend would cost

16,000w.• 5 friends would cost, 40,000w.• where x is the number of tickets and y is the total cost.

y = 8000xx yy = 8000x

Functions

Input Function Output

Domain Range

x yy = 8000x

Functions

Other ways to represent functions.• Table

• Mapping DiagramsInput Output

Input (liters)

1 5 12 15

Output (wons)

2000 10,000 24,000 30,000

1235

012

Function or Not

1

35

012

Use a Problem Solving Plan

• Read and understand the problem.• Take notes.•Make a plan.• Solve the problem.• Check your answer.

Strategies

Formula• A balloon is released from a height of 5 feet above the ground.

Its altitude, in feet, after t minutes is given by the expression What is the altitude of the balloon after 6 minutes?

• 497 ft.

Strategies

Formula• The driving distance between Daegu and Seoul is about 295

km. If you drive this trip in a total of 3.5 hours, what is your average speed? Round to the nearest km.

• 84 km/hour

Strategies• Patterns• This table shows the height h of a paramotorist t minutes after

beginning a descent. Find the height after 7 minutes.

Time (min) t

0 1 2 3 4

Height (ft), h

2000 1750 1500 1250 1000

StrategiesDraw• You want to tape five posters on a wall so that the spaces

between posters are the same. You also want the spaces at the left and the right of the group of the posters to be three times the space between any two adjacent posters. The wall is 15 feet wide and the posters are 1.5 feet wide.

• Draw a diagram and then write and solve an equation to find how to position the posters.

Formulas

• Temperature• or • Simple Interest

• Distance Traveled

• Profit

Homework• Pages 31-32 #8-10 all, 14-19 all• Pages 38-39 #3-7 all, 14-21 all