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 distance
(seconds) (miles)
1
2
3
4
5
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
time distance
(seconds) (miles)
20
15
10
5
0
e
1 2 3 4 5 6 7 8 9
5
10
15
20
25
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l yo
labe
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r ax
1
2
3
4
5
The table shows the number of liters in quarts of liquid.
1) Write an equation to find the
number of liters in any number
of quarts. Describe the
relationship in words.
quarts,q liters,l
1
2
3
4
5
0.95
1.9
2.85
3.8
4.75
l
2) about how many liters are in 8 quarts?
= ______
+0.95
+0.95
+0.95
+0.95 +0.95
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
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
total distance run (miles)
b. Use the eqn to find cost of 15 tickets.
20
18
16
14
12
10
8
6
4
2
0
(5,17.5)
(4,14)
(3,10.5)
(2,7)
(1,3.5)
1 2 3 4 5 6 7 8 9 10
Time(days)
2) find y intercept
How many miles will he run after 2 weeks?
The number of trees saved by
recycling paper is shown:
100
(5,85)
90
80
70
(4,68)
60
(3,51)
50
40
(2,34)
Write an equation to find
the total number of trees
(y) that can be saved for
any number of tons of
paper (x).
30
20
How many trees could be
saved if 500 tons of paper are
recycled?
(1,17)
10
1
2
3
4
5
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
1
2
3
4
5
225m j
1200
1000
total jumps 800
600
400
200
0
1
2
3
4 5
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.
Guided Practice and Independent Practice