7th Grade Math

Get ConnectED

Rates and Functions

PART A B C DE

Multi-Part

Lesson 1

GLE 0706.3.2

Understand and compare

various representations of

relations and functions.

SPI 0706.3.5 Represent

proportional relationships

with equations, tables and

graphs. Also addresses

GLE 0706.1.5, GLE 0706.3.5,

GLE 0706.3.7.

Lesson 1C Rates and Functions 385

Functions and Graphs

MONEY The Westerville Marching Total Cost of Admission

Number of

Members^15 m

Total

Cost ($)

1 15(1) 15

2 15(2) 30

3 15(3)

4

5

6

Band is going on a year-end trip to an

amusement park. Each band member

must pay an admission price of $15. In

the table, this is represented by 15m.

1. Copy and complete the function table
   for the total cost of admission.


2. Graph the ordered pairs
   (number of members, total cost).


3. Describe how the points appear on
   the graph.

The total cost is a function of the number of band members. In general,

the output y is a function of the input x.

The graph of the function consists of the points in the coordinate

plane that correspond to all the ordered pairs of the form (input,

output) or (x, y).

TEMPERATURE The table shows temperatures (^) Celsius
(input)
Fahrenheit
(output)
541
10 50
15 59
20 68
25 77
30 86
in Celsius and the corresponding
temperatures in Fahrenheit. Make a graph
of the data to show the relationship
between Celsius and Fahrenheit.
The ordered pairs (5, 41), (10, 50), (15, 59),
(20, 68), (25, 77), and (30, 86) represent this
function. Graph the ordered pairs.
10
0 10
20
30
40
50
60
70
80
90
Temperature in Celsius
Temperature in Fahrenheit
Celsius to Fahrenheit
20 30
Main Idea
Graph data to
demonstrate
relationships.
Vocabulary
linear function
V
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385_390_C07_L1_895130.indd 385 12/31/09 4:24 PM