1 representing relationships notes (tables, graphs, and equations).notebook

1 representing relationships notes (tables, graphs, and equations).notebooFkebruary 27, 2017

Warm Up

To achieve orbit, the space shuttle must travel at a rate of about 5 miles per second. The table shows the total distance d that the craft covers in certain periods of time t.

time (seconds)

1 2 3 4 5

distance (miles)

5 10 15 20 25

1) Write an algebraic expression for the distance

in miles for any number of seconds t. d=______

2) Describe the relationship in words. 3) Graph and describe the shape of the graph.

25 20 15 10 5 0

label your axes here

1 2 3 4 5 6 7 8 9

time (seconds)

1 2 3 4 5

distance (miles)

5 10 15 20 25

You try...

The total cost of tickets to the Maverick Showcase is shown in the table.

a. Write an eqn to find total cost of any number of tickets. Describe in words.

# tickets,t cost c

1 4.50 2 9.00 3 13.50 4 18.00

b. Use the eqn to find cost of 15 tickets.

The total distance Road Runner ran in one week is shown in the graph.

Write an eqn to find the number of miles run y after any number of days x. 1) find slope

2) find y intercept

total distance run (miles)

20

18

(5,17.5)

16

14

(4,14)

12 10

(3,10.5)

8 6

(2,7)

4 2

(1,3.5)

0

1 2 3 4 5 6 7 8 9 10

Time(days)

How many miles will he run after 2 weeks?

The number of trees saved by recycling paper is shown:

100

90

(5,85)

80

Write an equation to find

70

the total number of trees

60

(3,51)

(4,68)

(y) that can be saved for any number of tons of

50

paper (x).

40

(2,34)

30

20 (1,17)

10

1

2

3

4

5

How many trees could be saved if 500 tons of paper are recycled?

1 representing relationships notes (tables, graphs, and equations).notebooFkebruary 27, 2017

Chloe competes in jump rope competitions. Her average rate is 225 jumps per minute.

5. Write an equation to find the number of jumps in any number of minutes. Let j be jumps and m represent the number of minutes.

6) Make a table to find the number of jumps in 1,2,3,4, or 5 minutes, Then graph the ordered pairs.

m 225m j

1

2

1200

3

1000

4

total jumps 800

600

5

400

200

0

1 2345

time (min)

Jack earns $7.50 an hour working at a grocery store. Write an equation to find the amount of money Jack earned m for an number of hours h.

Make a table to find his earnings for 5, 6, 7, or 8 hours. Then graph.

1 representing relationships notes (tables, graphs, and equations).notebooFkebruary 27, 2017

Front and back of "Representing Relationships" WS Homework Practice and Problem Solving

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