For the following exercises, use this scenario: The equation N ( t ) = 500 1 + 49 e − 0.7 t models the number of people in a town who have heard a rumor after t days. How many people started the rumor?
For the following exercises, use this scenario: The equation N ( t ) = 500 1 + 49 e − 0.7 t models the number of people in a town who have heard a rumor after t days. How many people started the rumor?
For the following exercises, use this scenario: The equation
N
(
t
)
=
500
1
+
49
e
−
0.7
t
models the number of people in a town who have heard a rumor after t days.
1) Express these large and small numbers from the Read and Study section in scientific
notation:
(a) 239,000 miles
(b) 3,800,000,000,000 sheets of paper
(c) 0.0000000000000000000000167 grams
2) Find all values for the variable x that make these equations true.
(a) 5x = 1
(b) 3x = 1/1
9
(c) 4* = 11/
4
(e) 4* = 64
(g) 10x = 1,000,000
(d) 3x=-3
(f) 2x =
=
8
(h) 10x = 0.001
(b)
4) Find an equation to fit each of the following graphs:
(a)
20
20
18
16
14
12
10
8
6
4
2
24
22
20
18
16
14
12
10
8
16
A
2
-3 -2
-1-0
2
3
4.
-1
0
1
2
3.
-2
-2
3) Which of the following are equivalent to 3? (There may be more than one that is
equivalent!)
-1
(a) (9)¯¹
3.
(b) (-3)-1
(c) (-3)
-1
(d) -(¯3)
(e) 11
3-1
(f) 3-4
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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